Preheat oven to 350 degrees F. Lightly grease a 6-muffin pan with butter.
Whisk eggs and heavy cream. Season with salt and pepper to taste (about 3 pinches of salt and 2 pinches of pepper).
Combine egg mixture with onions, bell peppers, ham, and cheese. Pour into the prepared muffin pan until each one is almost full. Top with some more cheese.
Bake for about 20-25 minutes, or until the eggs are set. Serve warm with some chives for garnish.
Notes
Disclaimer: Nutritional values (per serving) are approximates only.