Our favorite way to cook veggies it to roast them in the oven. Carrots and Asparagus our the favorites around here, but you can do it with any veg.
I put about a tablespoon of olive oil (use your favorite, we use the light oil so doesn't have that olive oil flavor) in a glass dish. Add your cut up vegetables and roll them around with your hands to get a bit of oil on all the veg. Sometimes I will blot the extra oil off the top. I roast them at 375, time depends on the the vegetables. Carrots take a long time, sweet potato and asparagus are about 15 to 20 minutes. If you let the edges of the vegetables get a little bit brown they will sort of carmelize and come out very sweet. I use different seasonings depending on the rest of the meal. A favorite on savory vegetable is Montreal Steak Seasoning.
Enjoy