Pre-heat oven to 400 degrees. In a 6" cast iron skillet heat butter or oil on medium heat. Cook carrots and onions until carrots are soft and onion starts to brown, about 8 minutes, this is a good time to chop your broccoli. Add broccoli to the pan and season with salt and pepper to taste, cook until tender, 3-4 minutes. While the broccoli is cooking beat together eggs, milk, and sour cream, add to pan and stir until eggs begin to set. Once eggs have become somewhat "lumpy" top with cheese and put skillet in oven. Bake until cheese begins to brown and eggs are cooked through, about 20 minutes. Let rest for 5 minutes before serving.