CBR is my favorite moderate. The grounds are lovely, and gives you that tropical feeling. With the recent success of the Pirates movie franchise, too, there is a lot of that merchandise around the resort (as well as a kids' pirate cruise expedition), and there are rumors that they will be retheming some of the rooms to reflect this.
CBR has the largest rooms of the moderates, which would be nice for your family to spread out in. There are quiet pools in every village, hammocks along the beaches, boat rentals, hair braiding by the main pool for your daughter, etc.
It really probably does depend on your family's style. Some people don't like the beach-y theming. I personally have no interest in ever staying at another moderate, CSR, because I just do not like the Southwest theme to the resort. But it has a lot of fans here, as well.
My 2nd choice would be POR. You have access to all the quiet pools, as well as the POR main pool, and the main pool at POFQ. They also have cane pole fishing, and surrey bike rentals. There's a boat to DTD.
Good luck with your decision - I'm sure you will still have a fabulous trip, and that CR MK Tower will be there for the next go-round. (Plus, the resort is undergoing a lot of construction to the public areas right now, so if you put it off, you can go for the first time when all of that is done.)