You're SO can whine all he wants. If he wants junk food, then he can go out and get soem for himself, he's a big boy. For the kids, keep a plate of chopped veggies on hand, deviled eggs, bagged salad and other healthy snacks for yourself. When they whine there is nothing to eat, point out all the already prepared things they can have by quickly grabbing. If they still whine, ignore them, rememebr you are improving thier health too and that is one of yoru responsibilities as a parent. No matter what any kid claims, healthy eating won't kill them, and neither will sugar withdrawls. Since they aren't Lc'ign though you may want to keep a basket of fruit on the table they can grab from, 100% juice ice pops and so on which are slightly too high carb for you, but still healthy for them.