Newborns and family pets don't mix. I spent the first year protecting the baby from the dog, then a couple of years protecting the dog from the baby. It all works out. Child and dog are good friends now.
While this is usually the case, I am proud to say that when I was first born, my dog was very tolerant of me. I was told that I used to crawl all over that poor thing and she'd just let me do it. Then afterwards, we'd end up napping together (have lots of pictures of that ). While you still have to be careful with dogs and young children, probably one of the better dog breeds to have near infants are bassets.