In a medium-sized bowl, combine cream cheese, shredded cheddar cheese, crumbled cooked bacon, mayonnaise, sour cream, and optional hot sauce. Blend until creamy and evenly mixed, then let it sit for 10 minutes.

Slice a thin wafer off the bottom of each bagel to create a stable base, then hollow out the center carefully.

Spoon the creamy filling generously into each hollowed bagel and smooth the tops for an even layer. Place on a baking tray lined with parchment paper.

Preheat your oven to 190°C (375°F). Bake filled bagels for 12-15 minutes until golden brown and bubbly.

Remove from the oven and let cool for a minute. Garnish with reserved bacon bits and freshly chopped chives, and serve warm.