Of the deluxes, we've only stayed at AKL, Polynesian, Boardwalk and the Beach Club. Of those, our favorite is the Beach Club! We stayed at the BC when our DS was 5 and DD was 8. The pool is amazing! DS actually learned to swim in their "kiddie" pool -- it's huge with a sand bottom & never gets over 3' deep. He also loved when we sat out on the beach & he could play in the sand. Now, they are showing Disney movies on a big inflatible screen out on the beach at night. (We hung out a bit at the BC one evening last month) You can walk to Epcot and MGM, although MGM is a bit of a trek. We took the boat to MGM & walked to Epcot. And my children love those two parks. Bus service to MK was very efficient and prompt. Never waited more than 5 minutes for a bus. Beaches & Cream is a great burger & ice cream place there at the BC. There is also a character breakfast at Cape May Cafe, with Minnie, Goofy, Chip & Dale dressed in their beach wear.
We stayed at the Polynesian this year. We loved it too. The rooms are spacious and the grounds are lovely. Our DS had just turned 6 when we went. He enjoyed playing on the beach there too. We liked being able to see the fireworks from MK from the beach. And the EWP goes by each night. Being on the monorail was great - it literally took us 5 minutes to get to MK! We enjoyed 'Ohana for both dinner and the character breakfast with Lilo & Stitch. The pool is lovely, but it seemed so small after the BC's Stormalong Bay. And the pool was always so crowded. There wasn't any room to really swim, just splash around & go down the slide.
The AKL is also great for kids. We only spent 3 nights there last year (split stay w/ BC). There are tons of kids' activities to do, and kids collect a bead for each activity they complete. It is free and makes a cute souvenier. We watched the animals at night with night vision goggles. My kids also liked the storytelling at Arusha Rock.
You really can't go wrong with any of these. We liked the BC the best, because it was the most fun for all of us. The kids loved it and DH & I found it to be the most relaxing for us.