Depending on your budget there is quite a few actually.
But this also depends on ages of your children, because some rooms have a day bed in them to make it so that they can sleep 5. But this day bed will not sleep someone that is 6ft though, if you know what I mean. It can be very comfortable for a child lets say up to about 10-12 years old. Of course when you call and book they can tell you this as well.
Polynesian and Boardwalk both offer these rooms with Daybeds in them.
Wilderness Cabins is very nice as well, plus its a little more quiet because you don't have to worry about someone next to you or out in the hall making a lot of noise. Wilderness Cabins have 1 BR which has a full size bed and a set of bunk beds and then in the Living/Great Room Area there is a murphy bed (comes down out of the wall) that is also a full size bed, so it sleeps six. Plus if you fibbed and didn't tell them of a seventh person, you could put a seventh on the couch, but they only technically allow 6. Plus you get full kitchen, so I usually go up to Walmart and stock the kitchen so that I can make a lot of meals there, especially breakfast. Plus each cabin has an outside grill (need to get charcoal), so you can have a cookout and there is a nice deck with a picnic table.
As stated before you can also get the family suites at Allstar and POR also offers the daybed deal I believe, but I only stayed there one time and that was back when it was Dixie Landings and only for 1 night.
Then if you wanted to splurg you could get 1BR villas at Boardwalk, Old Key West, Saratoga, Beach Club or Wilderness. Then there is also the Garden rooms at Boardwalk Inn. Then to really go all out almost all Deluxes offer Suites that are very nice.
I saw a thread yesterday that had pics of the inside of a lot of these rooms, if anyone can find it and provide a link, that would probably help you to decide as well. Then you could see the inside for yourself (in pics anyway) and then way the looks, prices and sizes.
Hope this helped and if I find that thread I will come back with a link.