Hi Charlotte..
Well if there is one thing that there a lot of around Disney World it is restaurants filled with kids that are sometime tired and little loud....so you will not be alone.
Remember, Disney World is 40 square MILES, so where you are staying will have a lot to with with what restaurants are handy and reasonbly priced.
If you don't mind buffets, there are plenty. Probably the best overall are the Golden Corrals. There is one in Kissimmee on 192 west of Disney about 2 miles. It is on the the south side of 192 close to Sherberth Road which intersects 192.
There are hundreds of chains along 192 including Red Lobster, Denny's Outback, Lots of Pizza, Chili,s and so on.
If you want a great Disney Buffet for the kids, try Chef Mickey's at the Contemporary Hotel. You do NOT need to be staying in the hotel or even have Disney park tickets to go. Just call 407 WDW DINE to make ressies (priority seating) For breakfast kids under 2 are free and the 3 y/o is about 12 dollars. Adults are about 15 dollars. It is a little pricy but the greatest take home pictures with Mickey, Minnie, Goofy, Pluto, Chip and Dale...
Good Luck and it you let us know where you are staying we can give you a few more ideas close to where you are at....
Enjoy
Ted