Fur babies and babies

So I have a dog and cat that will be coming back to live with me as soon as my house is done and I am due 12/10 for my first 💕 both fur babies have always had free roaming and sleep with me (and eventually my fiancé) if they choose to. We will be in a tiny house for awhile so it’s just one bedroom so the baby will sleep in there as well( in a crib or bassinet). My first question is I saw you’re not supposed to deal with car litter, how do y’all work with/ around that?(aside from having my fiancé do it). Also what did you do to prepare your fur babies especially my dog she’s never been around babies or little kids so it worries me😕