Although it might not be the best idea to let your pet be around your baby due to health issues and other problems, some cats (and dogs) are great at baby sitting. They love to play with their mini human, and will always be there to keep them warm and safe.
See for yourself in the clip below. Just when the baby starts to cry, the kitty immediately comes to check on and stays there to watch over him/her. Isn’t that just wonderful?