Liz,
Thank you for bringing your question to the Disney Parks Moms Panel! My family has stayed at the majority of the Walt Disney World resorts, so I can give you the scoop on the resorts that I think are best for kids. I'll give you my favorite in each category:
Value Disney's All Star Movies Resort was my son's absolute favorite resort. This resort is themed around Disney movies, with a huge Wood and Buzz from Toy Story in the Toy Story section. There is also a 101 Dalmatians section, Mighty Ducks section and a Fantasia! Pool. The rooms are fun and decorated with movie posters. The food court also has a variety of options that kids and adults will love.
Moderate My kids loved
Caribbean Beach Resort because of the pirate theme. We stayed in a pirate room, and my son loved the bed shaped like a pirate ship and elaborate theming. The pirate playground and pool were awesome.
Deluxe My daughter's favorite resort is
Disney's Polynesian Resort. Our favorite restaurant is 'Ohana, which is located at this resort. They also love Lilo & Stitch, which you can meet at 'Ohana for breakfast. The pool at this resort is also great and you can see Wishes from the beach. This resort is also only a short monorail ride away from Magic Kingdom.
I hope this helps you pick the best resort for your family!
Magically,
Stacy