Well, I'm very sorry you're so down on yourself. I urge you to seek some type of counseling somewhere -a church, women's shelter -there are many free places. I know your life seems like a mess now, but you CAN make it better. I have to say, that as sad as it is, I applaud you for thinking of your daughter and knowing when something needs to be done. GOOD FOR YOU! See -you're not a total screw up -you're THINKING of your child, which is a lot more than many people do! You also do work, so you have that going for you.
If you are truly at your wits end, and you feel you cannot deal with her another minute, then yes -please take her to the fire station or a hospital emergency room. Both places are "safe havens." Just make sure you actually take her in and give her to someone instead of leaving her outside.
What is your parents' take on all of this? You could go through the channels of putting her up for formal adoption and possibly even have an open situation where you would receive updates and pictures if you wanted to. I'm not saying this to make any judgments on anyone, but I'm betting you're white. While it's a great unfairness to other children in our world, white babies are in high demand and there is probably someone on a list with an agency right now who would be grateful to you beyond belief. Is the reason you're contemplating dropping her at the fire station because you think your parents or her dad will stand in your way?
This is something you MUST consider. Is her father active in her life? Does he pay any support or have any custody of her? If he does, then you must give him the option of taking her. You can't give her up without him knowing if he knows she's his child and he's had anything to do with her.
Now, back to you! How old are you? You can enroll in GED courses at local community colleges and vocational schools. Go to your local welfare office and ask for any information they have on places where you can get your high school diploma. They have it -I promise! After you have done that, look into what you think may interest you. If you want to go to college -fantastic! You can get loans and go to a local college, BUT many people initially overlook a lot of training for jobs they would like that doesn't take 4 years. You may want to be a vet tech, medical assistant, dental hygenist -the list goes on and on. While you're at the welfare office, get some info on continuing education. Think about what you would like to do. This will all take time, but it will be worth it!
You can't do anything about the DWI now except decide you'll never get another one. No matter where you are or what you're doing, if you have had anything to drink or have been doing any drugs -call a cab. I don't suggest this and it's wrong and you can be arrested, but even if it means you jump out and run when you get where you're going -don't EVER drive again unless you're completely sober.
I'm not sure what your criminal record is for, but depending there are many different levels about how much it will hurt you. Did it occur while you were a minor? If so, it's sealed. Is it shoplifting, drug possession -something of that nature or have you done time for robbing a home or store? It's hard to give you advice without knowing how serious your record is, but you can still persevere.
As for your teeth -it may take some time, but try to save a little bit of money here and there and get things done as you go. Go to a dentist as soon as possible for a cleaning and assessment. Tell them up front you have no money, but you need an idea of what should be done to make your teeth look good again. Go from there. Like the rest of it -school, etc. -it will take time, but put some stock in yourself. You're okay and if you were an awful person, you wouldn't care what happened to your child or be concerned with money, yourself or anything. If you could get into a good counseling group, it would probably help you immensely.
I wish you lots of luck. Check into a few different options before leaving your baby at a safe haven. If that's what you need to do though -do it. Better for her to be safe and cared for than not. Just cover yourself concerning her father and if you can wait a few days -check out some adoption alternatives. Look in the phone book for adoption agencies or even those places advertising "Pregnant? Need Help?" Planned Parenthood could also provide you with a list of resources. I hope you get it all turned around! You can make it -and keep remembering that you're WORTH making it.