I have picky eaters too, there is a seperate menu for the little ones, mac and cheese, pizza, chicken fingers, burgers, Mickey Pasta. If I could make one recommendation, don't let your kids order the chicken noodle soup mine did and oh goodness it has veggies in it, I liked it but they were like this isn't Campbells mommy. My 2 little ones love salad and when I say salad I mean just leaves and our server would bring them lettus leaves every night and ask them if they were rabbits. My kids did not go hungry and they even tried somethings that I was surprised that they would try.
If you have the chance to pick up a Passporter it has a whole page about Kids' dining.