In a skillet over medium heat, melt the butter until it begins to sizzle.
Crack the eggs into the skillet, season with salt and pepper, and cook to your desired level of doneness.
While the eggs are cooking, place a slice of bread on a flat surface. Sprinkle shredded cheddar cheese evenly over the bread.
Once the eggs are cooked, place them on top of the cheese-covered bread slices.
Lay a slice of cooked bacon on each egg-covered slice of bread.
Top each sandwich with another slice of bread.
Carefully transfer the sandwiches to the skillet and cook until the bread is golden brown, and the cheese is melted, about 2-3 minutes per side.
If necessary, press the sandwiches down with a spatula to ensure even cooking.
Remove the Breakfast Grilled Cheese from the skillet and let them rest for a minute.
Optionally, garnish with fresh chives.
Slice the sandwiches in half and serve hot. Enjoy this delicious and hearty breakfast grilled cheese, perfect for a satisfying morning meal!