CP and HP soap, I also sold MP for a bit. Just label it as soap though. No making any cosmetic claims! Some MP soaps are still "primarily composed of salts of fatty acids" like SFIC bases. So those would also be ok to sell as "soap". Be careful and know that there will be people around you that aren't following the law. Feel confident that you have a great product and are following rules and regulations. It is hard for me when I see local crafters selling lotion b/c its not fair to those that are actually following the law like me. But I just remind myself that it is important to do things the right way so it doesn't come back on me later on.
ETA: Yes, if you register in GA and want to make cosmetic claims, all of the cosmetics must be made AND packaged in Georgia. FL is suuuuper strict. Not for soap though. That falls under different regulation and doesn't require anything special. Even in Florida.