The best way to get your family to eat healthy food is stealth, pure and simple. It's the only way to sneak in veggies to my kiddos and my hubby. The girls will eat a good variety of vegetables with just a little prodding, but my hubby is much more stubborn than they are.
I heavily use both the blender and the food processor to sneak vegetables into everyday dishes. I put baby spinach in berry smoothies, baby carrots & nonfat yogurt into strawberry-peach smoothies, and make all of our sauces from scratch. Diced tomatoes sauteed along with red bell peppers, baby spinach, mushrooms, carrots, and yellow squash makes a very pretty marinara sauce for spaghetti with loads of hidden nutrients. As long as no one actually catches me sneaking the healthy stuff in, no one ever has cause to complain because it's so yummy!
Making desserts with healthy ingredients is another option. Make brownies from scratch with non-alkalized cocoa, a can of chickpeas, and unsweetened organic applesauce instead of cooking oil. I guarantee that no one will notice the difference, and you will probably get compliments on the creamy texture of the brownies!