you can check out menus and current prices at www.allears.net
Most counter service places have a form of chicken nuggets/chicken fingers, a few have corn dog minis for kids, and Casey's in Magic Kingdom is the only place I know 100% has hot dogs. Other places may but not being a meat eater I couldn't verify w/o looking at the menus.
If you're using the dining plan, remember that kids MUST order off the kids menu.
Like Sonya said, you should check out allears menus.