Heat the oven to 375°F. Cut up the bacon into small pieces. In an oven-safe sauté pan, cook the bacon until it is brown (but not crunchy) over medium heat.
Whisk the eggs in a mixing bowl until fluffy. Mix in the milk, salt and pepper. Stir in the grated cheese. Using a slotted spoon or spatula, remove the bacon from the pan and add it to the eggs.
When the egg stops leveling itself in the pan but isn't completely set, sprinkle the top with diced green onions or chives (if using). Bake in the oven for 8 minutes, or until all of the egg is cooked.