Preheat oven to 350 degrees F.

Heat 2-3 tablespoons olive oil in a 10-inch cast iron skillet over medium heat. Add potatoes in a single layer. Cover with a lid and cook for 10-12 minutes, turning once ¾ of the way through, until cooked and slightly crispy. Season with salt and pepper to taste. Transfer to a plate and set aside.

Add another 1-2 tablespoons olive oil to the skillet on medium high heat. Cook the onions, bell peppers, and diced ham, turning occasionally, until the bell peppers are tender and slightly charred and the bacon is cooked through and golden brown. Season with salt and pepper to taste.

Add the prepared potatoes back into the skillet, and combine everything. Top with shredded cheese. Place in the preheated oven for 2-4 minutes, or until cheese is nicely melted.

Meanwhile, fry 3 eggs on a separate frying pan any way you like. You can also make scrambled eggs instead.

Remove breakfast skillet from oven, and top with the fried and/or scrambled eggs. Serve immediately.