Use festive cookie cutters to stamp out shapes. Reserve cutout pieces to toast later!
In a medium bowl, whisk together eggs, cheese, milk, parsley and chives. Season mixture with salt and pepper.
In a large skillet over medium heat, melt 1 tablespoon of butter. Add as many bread slices that will fit and cook until the bottoms are golden, about 2 minutes. Reduce heat to low then flip bread slices. Pour egg mixture into each cutout shape. Cover skillet and cook until the egg is set, another 3 to 4 minutes.
Remove from heat and repeat, adding more butter as necessary, with remaining ingredients.