They usually do not cost a lot to join, some are even free for CFI's (that would be a good indication that they need CFI's).

I would maybe go to the club office/FBO and talk to some folks, members and other instructors.

Don't lie, but you might want to not mention that you are a CFI...the other CFI's might not give you the straight scoop if they are afraid of competition. Ask about the aircraft Mx, availability, club management, and how difficult it is to find a CFI. If the pilot members say they have trouble scheduling instructors, that would be a good thing for you.

Once you get some intel, then talk to the management about their CFI requirements...training seminars, aircraft checkouts, time-in-type, etc.

Basically, learn as much as you can before you decide. Each club is going to be different.

If you are a brand-new CFI, you will have the challenge of conducting training without much supervision or mentoring. You will need to carefully read all the regs applicable to the training you are giving and make sure you do everything correctly. If you're lucky, an experienced club CFI or manager will mentor you.