I have had success in sticking with the home rink if at all possible. Once you are a club hopper, then you are a club hopper. It is not a term of endearment. We all know who the club hoppers are.
Being honest with your home club and all of the potential new clubs is also a good idea. "Little Johnny only wants to play A hockey". And "Little Johnny is trying out for PHC, FE, and PLF".
Pick one favorite club by doing research in the off season, attending multiple pre-skates, getting private lessons from the new rink, and talking to other parents. Then prioritize that.