There are tons of table service restaurants!!! The problem is that the 180 mark to book was back in March so everything is full. Also, just so you know, some of the best restaurants are at the resorts. If you are at MK you can go out eat at Contemporary, Wilderness Lodge, Polynesian, and Grand
Floridian and then come back into the MK (to get to these it's just a fun monorail ride or a relaxing boat ride). Epcot or Hollywood Studios you can easily walk or boat to the Beach Club, and Boardwalk. Your age kids would probably love Whispering Canyon. You could even do the dinner show Hoop Dee Doo, it is 2 credits on the dining plan though; however, my whole family loves it!
What are the days you are going to be at WDW at which parks are you going to? I would keep checking to try and adjust times and restaurants because things do open up. I check almost daily for a better time for Beaches and Cream. I decided just last month to book it and the only time was 3:20. I wanted about 2 so I'm hoping it opens up. At 180 the latest I could get my Rose and Crown reservation was 7:10. I like them as close to 7:30 as possible for viewing Illuminations. It's kind of hard to get one around there once their gone, but a 7:25 opened up.