Preheat oven to 350°F.
Grease a 12-cup muffin tin.
In a large bowl, whisk the eggs.
Stir in the shredded cheese, diced bell pepper, and diced onion.
Season with salt and pepper.
Divide the egg mixture evenly among the muffin cups.
Bake for 20-25 minutes, until the eggs are set.
Optionally, place a pan of water on the bottom shelf of the oven to keep the egg bites from drying out.
