Boil the Potatoes: Bring a large pot of salted water to a boil. Add the diced potatoes and cook for 10-15 minutes until fork-tender. Drain and set aside.

Crisp the Potatoes: Melt 2 tablespoons of butter in a skillet over medium heat. Add the drained potatoes, spread in an even layer, and cook for 5-7 minutes until golden brown and crispy.

Add Optional Meats: If using, stir in cooked ham or bacon and sauté for 2-3 minutes.

Prepare the Egg Mixture: In a bowl, whisk together eggs, milk, salt, and pepper until smooth and frothy.

Cook the Eggs: Pour the egg mixture over the potatoes in the skillet. Stir gently over medium-low heat for about 5 minutes until eggs are just set.

Add the Cheese: Once eggs are cooked, sprinkle shredded cheddar on top. Cover and cook for an additional 2-3 minutes to melt the cheese.

Serve and Garnish: Remove from heat and garnish with green onions or chives. Serve warm.