You probably already know this but if you add salt to your water when you boil your eggs, the eggs will most likely slide out of the shell in perfect condition. No more trying to peel pieces of shells off them.
My brother had a friend who owned a restaurant with a buffet. Deviled eggs was always on the buffet. My brother asked him how they peeled so many eggs without tearing them up. He said they added salt to the water. The shells slid off like a jacket. A perfect egg. And no salty taste.
I told my brother, he let me know this after watching me struggle for years to peel a decent looking egg.
Since then I don't mind peeling eggs.