Jenny - there are many restaurants in Walt Disney World that I think you might enjoy with your girls. My first choice would be a late dinner at
California Grill in the Contemporary Resort. It's just a quick monorail ride from the Magic Kingdom, the food is excellent, and from the restaurant you can view the fireworks either from your table, if you are seated near a window, or from the observation deck. The music from the parks is piped into the restaurant, and the view is spectacular. No need to worry about your food getting cold while you are enjoying Wishes; the restaurant staff has timing down to an art.
Jiko at the Animal Kingdom Lodge is another restaurant you may enjoy as a family. Again, the African inspired cuisine is excellent. If you dine here, be sure to get an animal guide at the front desk and step outside to view the savannas.
Both of these restaurants are signature dining restaurants, and you and your children should dress accordingly. Casual attire is fine (this is still Disney), but tank tops and flip flops are not allowed.
If you are looking to dine in the parks, I would recommend heading to EPCOT.
Coral Reef is a great option as are some of the dining experiences in the World Showcase, depending on your families tastes, you may enjoy
Le Cellier (Canada),
Bistro de Paris (France) or
Teppan Edo (Japan).