The secret here is slow cooking. No crispy eggs!
Set your pan to barely above a low heat, with some butter in it. 3 on a scale of 1-10
Pour egg mixture in, with plenty of pepper on top. Let it sit a bit, and move it around with a spatula so uncooked egg is always touching the pan. DO NOT OVER COOK THE EGGS! Just until they are barely solid.
You can put a lid on the pan to help them cook, but don't forget to move them around.