Having lived through Hurricane Sandy with five kids under 10 in the house, I can tell you, feeding kids during a hurricane is not for the faint of heart. Kids are picky, needy creatures, and that isn't going to change regardless of whether or not there's a huge storm pounding down on you. They want their chicken nuggets and they want them now. Coming up with yummy, non-perishable meals for little ones isn't easy, but hurricane food for kids doesn't have to be impossible, either. (Especially if you're evacuating.)
The trickiest bit is coming up with foods they'll eat without a lot of waste. One thing most people don't think of when they're preparing for a hurricane is that your garbage collection service isn't going to be coming for a while, nor are you likely to want to brave the rain to take it out. Also, make sure you have a manual can opener, and if your stove is electric, get a camping stove and fuel so that you can heat your food. Cold sandwiches are fine, but after a while, you'll want a hot meal. The baby aisle is your best friend in this scenario. It's full of shelf-stable meals for toddlers and babies that children will usually still eat, and that taste pretty great if you're eating it yourself as well. Just make sure you have plenty. And if you're planning on evacuating, these snacks can be packed for easy on-the-go meals.