My spider biy gets to come out often, mainly because he is the most active out of all of my others. I usually just let him go free roaming around by bedroom while I feed my geckos (if it's clean enough lol) which I've snake proofed so he won't be able to get himself lost or stuck anywhere.
As for the others, when I clean them, I get someone to handle them and play with them while I clean

As for the pet question, my bps have never really come in contact with my other animals. I mean the parrot hated snakes to begin with, and I wouldn't dare put a snake near the bird, and the dog most likely kill them if he had the chance