My workhorse pan is a 12" CI. I regularly cook different types of eggs in it. I sometimes make a sausage McMuffin. A buttered English muffin goes in the pan along with 3 sausage links. Then I use a biscuit/cookie cutter the hold an egg. I add some cheese on top of the egg. When I'm lucky, they all come out at the same time.
I cook everything else in this pan too.
CI really is non-stick and you don't have to baby it.
"If you want to make an apple pie from scratch, you must first create the universe." -Carl Sagan