The url really doesn't matter. The name does, and it's great.
My advice would be to use the proper spelling ('Babylist') in general - especially in your html titles - and in no time you'll be #1 for the term, regardless of spelling:
My advice would be to use the proper spelling ('Babylist') in general - especially in your html titles - and in no time you'll be #1 for the term, regardless of spelling:
People will go to babylist.com. They will probably copy the concept if it takes off.
Bad idea.
It seems silly to try and compete with established players.
2. the owner of the domain is a single-location brick and mortar retailer, with no e-commerce. that would inform my thought process, were in in the OP's shoes