Preheat oven to 375 degrees Fahrenheit (190 degrees Celsius).

Grease an 8x8 inch baking dish or 8 holes of a standard muffin tin with butter.

Combine eggs, cottage cheese, salt, and pepper in a blender.

Pulse until the mixture is smooth and aerated, approximately 20 to 30 seconds.

Fold in shredded cheddar cheese manually using a spatula.

Pour the egg mixture into the prepared baking dish or muffin tins.

Bake for 20 to 25 minutes, or until the eggs are puffed and the center is set.

Remove from oven and garnish with minced chives before serving.