By dinnerplate do you mean the Breck's series? I don't want to dampen your enthusiasm to grow them. They are beautiful iris. They just, well, had different names when the hybridizer's who first created them registered their names. Cheesecake is really Chad Harris's Blushing Snowmaiden. The others are his and other hybridizer's too but they never sold them to Breck's. Pardon my rant but it irks me that these iris are going by more than one name in sales to the public (and for not giving the original creators their due). All that said, Japanese iris like soil enriched with compost. They prefer the soil to always be moist. Never ever give them bone meal as it will kill them. Azalea type food is great. Feed early spring, then again after bloom and again in the fall. Cut the leaves down to about four inches before overwintering. They can take up to three years to first bloom so do not give up on them if you get no bloom this spring.
Since you are in Florida, make sure they get some shade during the hot times of the day. Are you going to grow them in ground or in pots?