I washed my hands as I would normally do after cleaning up, getting up in the mornings etc. I never over did it. Babies up to 3months dont' catch anything, its' after this that they can. As I said I didn't over-do it, babies, toddlers and children have to build their immune systems, if not they get sick quite quickly as their immune system hasn't had a chance to build up. I'm not saying dont' wash your hands however you have to give them the chance to build up their systems. They play with toys, rattles, teething rings, soothers etc. You can never keep your home completely germ free.
If you are nursing "yes" make sure you wash your hands as well as the breast area. I had 3 children and I can say that not one of them even caught a cold until around 18mos. Hand sanitizer I feel is one of the best things they have come out with and I use it all of the time, however you have to remember the alcohol content that is in it. You wouldn't want to use it and then right away put your fingers' into babys' mouth. When you bring your "newborn" home people should wash their hands prior to holding your little one. You know yourself what is on your hands' but you dont' know where your visitor was prior to coming to your home. Always leave a hand sanitizer in your bathroom, as well as at your front door. Your visitors' will get the hint and use it. ppl. see it they will use it, even if this means' putting up a sign. Its' for babies benefit as well as your own.