I agree with those other parents who have voted for satu'li Canteen at Pandora. My kids love the cheeseburger pods with the chips. It always seems to have good seating available too.
Backlot Express is where we usually stop for quick service at Hollywood Studios. I didn't really like the offerings at Woody's lunch box unfortunately.
At Magic Kingdom we go to cosmic rays Starlight Cafe but if it's super crowded and we can't find any seating then Pinocchio Village Haus is another good option. Especially for kids like who like pizza!
Isn't it though? Very surprised to see anyone mention Woody's, especially when recommending for a 3 and 6 year old?
MK - Columbia Harbour House - Salmon
DHS - ABC Commissary - Dinner has steak fries.....we're partial to steak fries vs shoestring
AK - Hamarbe Market has many items to choose or Restaurantasaurus might be better for young ones.