Are you looking for resort type amenities for the kids? The only place that might have any kid amenities would be Maverick Ranch, which is about 15 miles from the western entrance to the park. The only cg inside the park with hook ups is the Rio Grande cg, which is run by a concessionaire. You are too long to camp in the Chisos Basin, limit is 24 or 25 ft.
There are 2 or 3 cg's at Study Butte, but no game rooms, swimming pools, etc, Big Bend is a hiker/mountain biker paradise.
Check out the Big Bend Ranch sp/Barton Warnock visitors center, they have a wonderful exhibit about the Chihauhan Desert.
Enjoy your visit