First, talk to your vet. They will be able to give you advice about how the dog may develope with your child. If it is possible even. If you do look for a new dog this is my two cents worth though...
I have had three dogs around my six month old and all have been great, however if you want one that is really lovable and great with kids the beagle is the one we liked the most. They are small, short haired, very playfull, but not dangerous.
The only thing with them is if they get out they are gone! They will come back, but their noses take them on adventures that are made for movies!
I do suggest one thing before you make any moves. Talk to your vet. They know of all the options. My sister is finishing her residency now and she is my go to girl for advice on animals.
Just so you have some other info.... The other two dogs we have in our family are an American Eskimo (cute fluffy w/ curly tail long haired)-They are pack family dogs. Which means they will do anything to protect their family. Great with your kids, will bite other kids though.
And a Husky mix- Great with all kids.
Also I bet your vet will tel you muts are great. At least with physical ailments themselves. It's good to know what breads they are so you can tell if they are good with kids though. Of course you can't go wrong with a golden retriever. Females are smaller than males.
I could talk all day about animals. I think they add a level of compassion to kids that you can not teach them yourself sometimes. Just my thoughts growing up with all sorts of animals.
Just be careful of the cute fluffy ones. Really be careful. The dog trainer would not touch the American Eskimo, saying it is one of the ten most deadly dogs in the world. You'd never know it looking at the cute fluffy pup.
Note:
Ask your vet how the temperment is as the dog ages. The Chow is another cute fluffy dog that actually gets more agressive as they get older.
Good luck!