Boil the Potatoes: Place diced potatoes in a pot of salted water and bring to a boil. Cook for 10–15 minutes, or until fork-tender, then drain and set aside.

Sauté Potatoes: In a large skillet, melt butter over medium heat. Add the boiled potatoes and cook for 5–7 minutes, until they become golden and crispy on the edges.

Add Meat (Optional): Stir in the chopped cooked ham or bacon, and cook for an additional 2–3 minutes, just until heated through.

Whisk Eggs: In a medium bowl, whisk together eggs, milk, salt, and pepper until smooth and well combined.

Cook the Eggs: Pour the egg mixture over the potatoes in the skillet. Let cook for about 5 minutes, stirring gently and occasionally, until eggs are scrambled and cooked through.

Melt the Cheese: Sprinkle the cheddar cheese evenly over the top. Cover the skillet with a lid and cook for 2–3 minutes, until the cheese is fully melted.

Garnish and Serve: Remove from heat. Top with chopped green onions or chives, and serve warm.