Cook the bacon: Heat a skillet over medium heat. Add the bacon slices and cook until crispy, about 3-4 minutes per side. Transfer to a paper towel-lined plate to drain.

Prepare the eggs: Crack the eggs into a bowl. Add a pinch of salt and black pepper, then whisk until well combined.

Scramble the eggs: Melt the butter in the same skillet over medium-low heat. Pour in the beaten eggs and let them sit for a few seconds until they start to set.

Cook the eggs: Gently stir the eggs with a spatula, folding them over as they cook. Continue until they are softly set but still slightly runny.

Add cheese and bacon: Sprinkle the shredded cheddar cheese over the eggs. Crumble the cooked bacon and add it to the skillet. Stir gently to combine.

Finish and serve: Remove from heat when the cheese is melted and the eggs are fully cooked. Garnish with chopped chives if desired and serve immediately.