
Whisk together eggs, 1 Tbsp. heavy cream, kosher salt, and black pepper. Set aside.
Over medium heat, melt butter until foamy, then add chopped ham. Cook until the edges start to crisp.
Add the egg mixture and mix with the ham. Let the eggs cook at least 30 seconds so large curds have a chance to form before pulling towards the center.
Gently pull the eggs from the edges toward the center with a spatula, folding slowly to create soft, fluffy curds. Once the eggs are mostly set but still slightly glossy, remove from the heat.
Serve immediately with refried beans, flour tortillas, salsa or hot sauce, and avocado slices.