tototoo is right. Initially, I read your post quickly and I was thinking you were doing a trade and not that you were paying more $$ for one over the other.
I have stayed at Cypress Point and while I am staying at Marriots Cypress Harbour for the second time next month, I have never been to Royal Palms.
Cypress Point is a nice resort for the kids. Nice pool, family atmosphere and great location on the plus sides- (Oh, and they had a cool parrot in the lobby). Down sides were parking, kind of an apartment complex feel without a lot of greenery and a small second bedroom with little twin beds. The biggest down for my family is that there was no TV in the kids room. They don't have TV's in their rooms at home and so when we vacation, that's a treat for them. Also, it's nice for them to have down time at night and watch TV before bed, in bed. They were disappointed with that.
I don't know a lot about Royal Palms but I'm quite sure that in addition to the amenities it has on site you also have full use the World Center with an awesome pool and activities there as well.
I'm sure you'd be happy with either place.
Jenn