Hi OP,
When on vacation, we have the same dining style as you. What we love about Disney is we can keep that same style. Since our kids were the ages yours will be, we've only did a couple TS restaurants cuz there were a dozen other things the little ones would rather do than sit thru a hour and a half meal. Crystal Palace has always been a fav for us. There are many CS restaurants where you can enjoy a nice, cool atmosphere, get something not close to resembling a burger/fries/nuggets and have a nice dinner. Plus, you can share your meal with your kids!!!
I recommend choosing a resort that has a few dining options that fit your family. The monorail loop resorts are awesome (we now favorite the Poly) and we stayed at WL all the while the kids were growing up.
Some fav restaurants when our kids were ages yours will be:
Crystal Palace
50's Prime Time
Columbia Harbor House
Pecos Bill
Roaring Fork
Whispering Canyon
Enjoy!