In a large bowl, whisk together eggs, milk, and garlic powder and season with salt and pepper.
In a nonstick skillet over medium heat, melt butter. Add eggs and scramble, 3 minutes, then stir in chives.
On a cutting board, lay out three strips of bacon. Sprinkle the bottom third with cheddar and top with a large spoonful of scrambled eggs. Roll up tightly. Repeat with remaining cheese and eggs.
Return skillet to heat and add bacon roll-ups seam side down. Cook until crispy on all sides, then transfer to a paper towel-lined plate until ready to serve.