Unfortunately, they will be quite limited to Mac n Cheese, Chicken Nuggets, Ham/Cheese Burgers, Pizza, and PB&J since you are using the DP. Even the things that are not those items will probably not be too exciting to your kids if they are adventurous for their age.
There are a few places with something other than those items as Kids Picks
AK:
Flame Tree BBQ - Chicken Drumstick Meal
HS:
ABC Commissary - Ham and Cheese Wrap
Backlot Express - Meaty Macaroni
Epcot:
Electric Umbrella - Wrap
La Cantina - Cheese Empanada
Liberty Inn - Grilled Chicken Wrap
Lotus Blossom Cafe - Sweet and Sour Chicken
MK:
Columbia Harbour House - Salad with Chicken
Cosmic Ray's - Turkey Sandwich
Pecos Bills - Salad with Chicken
Resort Food Courts Might Have a some more exciting Kids options.