Preheat oven to 425°F (218°C).
Slice the avocados in half lengthwise and remove the pits.
Scoop out approximately 1 to 2 tablespoons of flesh from the center of each avocado half to create a larger hole for the egg.
Place the avocado halves in a baking dish, stabilized so they do not tip over.
Crack one egg into each avocado cavity.
Season each egg with salt and black pepper.
Bake for 15 to 18 minutes, or until the egg whites are set but the yolks remain slightly runny.
Garnish with fresh chives and serve immediately.