Take the kids shopping; let them pick "healthy" alternatives to snacks you usually purchase. Don't make a big deal out of it. If they ask where the "normal" snacks are, just tell them you want to try something new this week.
As soon as you unload your groceries, wash, dry, cut and display fruit and veggies in clear, plastic containers at eye level. Avoid storing them in the "crisper" drawer. When food goes in that drawer, it is "out of sight, out of mind" and ends up sitting unconsumed and going bad. You want to be able to open the fridge and see the food right there instead of having to search for it. Do the same with hard-boiled eggs--peel and store as many as will get eaten over the course of a couple of days in plastic bags (save the remaining boiled eggs in the shells until you're ready to eat them). You could also keep packets of tuna readily available. Instead of keeping salty, crunchy, sweets in the pantry keep packets of raw nuts, high-protein cereal, oatmeal, high-quality protein bars, dried fruit, rye crisp crackers, protein powders, instant sugar-free cocoa and whole grain cereal. Repackage them so when you are running around you can have grab and go small snack size portions readily available for you and the kids. If you don't want to throw away the unhealthy foods keep them on a high shelf where the kids won't see them and will forget about them.
Challenge yourself. Have a goal of making over your kitchen during the next 30 days. Make things at home; there are so many healthy recipes out there that are easy to make and not time-consuming. Spend time with your kids creating healthy snacks and teaching them why they should eat better. Involve the kids in the "creation" process; let them choose what you make. You and your children will be healthier and you will be spending quality time with your children as well. Everyone wins!