Cook the Bacon: Start by placing bacon slices in a cold skillet. Turn the heat to medium and cook until crispy, about 8-10 minutes. Transfer the bacon to a paper towel-lined plate to drain excess fat.

Whisk and Cook the Eggs: In a bowl, whisk the eggs with a pinch of salt until well combined. Melt butter in a nonstick pan over medium-low heat. Pour in the eggs and gently stir until just set, about 3-4 minutes.

Toast the Bagel: While the eggs are cooking, toast the bagel halves until golden brown. If desired, spread a little butter on the insides for extra flavor.

Assemble the Sandwich: Place a slice of cheddar cheese on the bottom bagel half. The heat from the eggs will help it melt perfectly.

Add the Filling: Spoon the scrambled eggs onto the melted cheese, followed by the crispy bacon. Sprinkle with chopped chives for a fresh finish.

Finalize and Serve: Top with the remaining bagel half, gently press down, and serve immediately for a warm, cheesy delight.