I hope I don't alarm you, but it isn't a good sign when guys start doing this type of avoidance behavior. It's one thing to veg in front of a t.v. every night or to drag his feet to get the diapers or help clean the house, it's another issue if he's spending long, late night hours on a regular basis with others who aren't family or someone he's obligated to spending late hours with, such as a work related client etc.
Granted, there are many guys who "get weird" when a new baby comes along and unfortunately don't help out much, or leave the daily baby duties to you, because they're freaking out or overwhelmed, but don't worry. Nature will intervene, and short of some serious psychological issue that needs to be professionally addressed, they can and most do come around. Just realize it may not be in a way we ladies like. Just chock it up to they're guys.. they're not built or wired with mothering instincts like us. But I make a big distinction when guys start acting as though they are still single and free to do as they please with their time. This has nothing to do with clumsiness in the nursery or nervous-dad syndrome. This is about shirking on crucial responsibilities as a husband and father. In short, I view behavior like you describe as a critical warning sign that he's probably doing something he shouldn't be, and probably hanging with "friends' that will lead him astray.
First of all, let me explain where I'm coming from. I'm not meaning to judge but rather point out an observation. IMO I've always thought it was a bad idea for married folks to get into this whole idea of "girls night out" or "guys night out" on a regular basis. I mean, what's the point of getting married if you're still going to hit the streets with your group of pals like your single? Only one thing can come out of this sort of free unconstructive activity...even if it innocently seems fun and like you're bonding with friends. You will eventually encounter temptations....and if you're like many of our friends, you might encounter regrets. By now, you've had time to have fun making friends and hanging with friends. Now more than ever, your focus as a couple should be on bonding as a new family.
Don't get me wrong, once in a very rare while, these get togethers are nice to reconnect with friends, but when it gets into a regular activity you're asking for trouble. And having outside hobbies and interests is healthy for both of you. But not when they start to interfere with your marriage and family life.
A sad example is the recent divorce in my own family. My brother in law's wife left him after a "girls weekend" and ended up marrying some guy she met at the resort's bar. I have two aquaintences in miserable marriages because one's husband is alcoholic, another friend's husband is cheating and hanging out at gentleman's clubs all night. One BF has had an affair with a married guy she met at a bar during happy hour. And yes, one of dh's buddies "hooks up" while he's traveling for work. He even "pre-arranges" it by calling his paramores to let them know he's coming into town.
My husband freaked when he found out and I'm happy to say, we both agreed that we won't and don't socialize with these folks anymore. Neither of us wants the bad influence. We try to hang with and cultivate friends who we feel have the same values as us and I think we're better off for it. IMO Couples who are social together as a couple, do much better than those who hang out as two singles who happen to be married. Or worse as one single who happens to be married. Those Vegas ads aren't popular in a vacume.
Much like parents of teenagers, in a situation like this, you need to be vigilent to protect the welfare of your family by getting more information on what's going on when he's away, and now. Im not saying to become paranoid, or controlling. But I feel it's perfectly within your rights as a wife and mother of his child to demand more from your husband. Without knowing his temperment or your history, how to approach it is up to you. If he's a particularly difficult person, perhaps seek the advice of a counselor or pastor.
I know you're new in town, and finding a babysitter right now may be a challenge, but you could suggest to your husband you'd love it if he invited you along sometimes. I strongly suggest you get more involved in your husband's activities and more informed about the people he's associated and the places they go. Getting to know these people will help on many levels. You will either make new friends and create a new community for yourselves, or you'll know whether an intervention is in order.
Find out for yourself what these new friends values are, and if they're really a bad influence on him. In a casual and non-threatening way, find out what he's doing when he's gone. See how he reacts to these questions: What are these friends are like? What are their interests? What do they consider a "good time"? Are they hanging out at a bar everynight or someone's house where their wife and kids are hanging too? What's the scoop with the place they're hanging out? Does it have a reputation? Are these friends single or married? (This is a really important question because he could be coming in contact with people who are into cheating, or someone he can cheat with). Perhaps asking him to invite these new friends over to your home for get-togethers sometimes. Ask if they have wives and children too. Find out where their families are hanging out, while they are out hanging with your husband. Ask if you can spend time with their wives, while he's with the guys?
Depending on the answers you get, you will hopefully get a better picture of the situation you're in. This should help you decide the next move. If from his answers he's not straightforward, isn't going to change, he won't bring these people around, you find out they're single or alcoholic (partiers), he's hanging at a bad place, etc. you should strongly consider getting family counseling.
It's unfortunate, when some husbands take their wive's openess to give them time with their friends for granted. Depending on the state of level of communication and openess with each other or the lack thereof, you run into the risk of your spouse becoming influenced by the behavior and value of those friends. The more he is away from you, the likliness of him turning his loyalties to those he spends his time with will increase. Couples need to be upfront and communicating with each other, and be careful not to invite others into your "sacred space" as a couple. Especially during times of stress and hardship. His not spending time with you, could turn into a situation where he's dishonest by omission. It seems you don't know anything about where he's at right now. That's scary and unfair to say the least, especially at such a vulnerable time in your life.
If it's getting to the point where he no longer checks with you to see if it's okay he's out late, he is more than likely now feeling less accountable to you. Somewhere you lost communication with each other, and it might be because you've allowed him too much freedom before the baby, and now that the baby's here, and there's the added stresses, he feels he has license or is entitled to "get away" rather than come to you to help him through his difficulties. Right now is a critical time, that is bigger than just the stresses of a new baby and the recent move to a new town. You need to find a way to communicate with your husband. You need to find a way as a couple to build a new community of friends and warm and inviting home. Your goal now should be to find things that will make home feel like a place he would rather be, and that you're the person he wants to confide in during times of stress. Once again, I suggest counseling. I also have some other suggestions:
In the interim, try to find ways to bring things home if you can't get a babysitter. Have a big BBQ at your house and invite everyone you can think of: Your pastor, people from church, neighbors, his "new friends". If family aren't too far away, even invite family to the new house, and tell them you're missing the comforts of home. Maybe they'll "warm" it for you, to help ease your transition. The important thing to consider here with this suggestion is if you can't get out to survey the land, bring the survey home and do some serious sizing up. You might even get some new friends yourself to help you with baby sitting. Also, find out if there's a mom's group or something like EFCE (early education programs for mom and baby) in your area.
Lastly, while he may blame the move, some sort of outside stress, or even the new baby, the bottom line is, something is wrong and the person he should be solving that problem with (you) is being left out of the loop. I can't stress enough as this issue being the most important more than the more big and obvious things like the baby and the move. Try to get him to open up, and perhaps you can work on it together. But more likely, it will be better if you both seek someone outside of the situation to help counsel you. This may be a tough situation, but do try to find a counselor or minister in town that can help you both. It is clear your husband is not dealing with something... and he's using his new friends to do that avoiding. Save him and save your family by intervening now.