Cats and a newborn

Shelby • Happily married since 6/27/14, Connor Dean born 9/5/15
I just brought my son home today. We have 3 cats and they are are curious and sniff him, but haven't shown any signs of being agressive towards him. 
The cats all sleep with my husband and I at night. Id hate to kick them out of the room. Any tips or reassuring stories?