I never add milk either - it just makes them really bland. I make omelets much like you do. I make scrambled eggs differently. I mix the eggs well in a bowl while the pan (with butter) heats to about medium, then I toss in the eggs and turn the heat right down to minimum. As the eggs start to congeal around the edge of the pan, I move them toward the center. The uncooked eggs move into the space left by the cooked eggs. Keep moving the eggs slowly until they are all just cooked but still shiny (no liquid nor should they be separating into clumps) and turn off the heat. (If using an electric range, take them off the burner entirely). Perfect scrambled eggs, every time.