4 days on a once in a lifetime trip. And one poster has you spending a lot of time leaving MK and coming back again?
So....
AK This would be my nice dinner. Tiffins.
DHS - Half day park at best, no need to eat there, if you even bother to go.
MK. Skipper Canteen (dinner) or Be Our Guest (Lunch... kind of a hybrid meal fancy CS really
)
Epcot. Garden Grill as long as you realize it's ALL about the characters are not expecting a lot. If you want better food I would suggest Chefs de France, Spice Table, or La Hacienda
I would do three sit down meals. Alternatively you could do a character breakfast as your sit down BEFORE you go to the park and just do counter service all day.
So before Epcot you could do Cape May in the Beach Club or before MK you could do 1900 Park Fare.
With 4 kids I think telling them every day "we are now going to spend 2 hours at dinner/lunch/etc... is probably not going to be a hit... I speak from experience. By the end of day 2 our group of 4 was mad at us about all the time we were wasting in restaurants! They would probably rather take a pool break than have a nice dinner