More simply:

If you've been using any chlorine compound--pucks, powders, capsules, bags, you can switch to bleach / liquid chlorine immediately with NO negative effect at all. Bleach is compatible with salt systems too. Chlorine is chlorine.

If you've been using Bacquacil, you have to go through a painful conversion but you'll be happier in the long run.

If you've been using bromine, you'll have to drain your pool and refill, and then use lots of chlorine for a while.