Melt the butter in a medium size skillet over low medium heat.
2 tablespoons unsalted butter
In the meantime, whisk the eggs, half and half, salt and pepper in a medium bowl for 1-2 minutes or until the eggs are thin, similar to water.
2 eggs, 2 tablespoons half and half, ⅛ teaspoon salt, ⅛ teaspoon ground black pepper
Whisk in the chives then pour the egg mixture into the pan.
1 teaspoon chives
Let it cook for 1 ½ minute then swirl the pan around to make sure the center gets cooked fully.
Let it cook for another 30 seconds then use a rubber spatula to loosen the edges all the way around and the center should start to loosen.
Once the omelette no longer has a custard-like center, add whatever filling you prefer. (I used diced ham and mozzarella cheese.) Then fold one side over the center and fold the other side over the center.
Serve with freshly chopped chives for garnish and enjoy immediately.