Pets and Babies

Moms , how soon are you going to introduce your baby to your pets ? 
Will you do it carefully or just let your pet get near it ? 
I have 3 kittens one of them is not so much of a kitten anymore hes pretty big and he was my baby before I got pregnant (still is) lol. Well me , i'm not scared but I dont want him to scratch my baby and im not so sure about how the other kittens are going to react . Should I just let them smell my baby but keep my baby wrapped up in a blanket or what ?