I just asked my sons what they prefer.
We've been fortunate enough to go to both. Unanimously it is the Hoop Dee Doo Review. Lots more fun, silly laugh out loud jokes and foot stompin'. We enjoy the adventure in itself just to get to Fort Wilderness and the boat we take back.
The old Polynesian Luau show was much better than the new version. Personally, I LOVE the Poly and hope to stay there sometime, but I think the show is kind of sappy and boring (except for the very end with the fire dancers).
The boys and I agreed the food is good and plentiful at both except they don't like the dessert at the Luau, and LOVE the dessert (strawberry shortcake) at the Hoop Dee Doo.
Also, a pet peeve of mine at the Luau is the pre-show seating or lack thereof. I hate having to stand for a half hour waiting to be seated. For us at least, the seating at the Hoop Dee Doo goes quicker.
As I am writing this, I realize I am totally nit picking. Each show has a wonderful uniqueness and lots of super memories. Each is worth a try. I have 2 teenage boys and you have little girls. Your girls may love the story at the Luau. My boys were only interested in the next course of the meal - the romance part of the show was lost to them.
You should probably plan 2 Trips and test each show out - just to be sure!
Whatever you decide I wish you a wonderful time!