Ever boiled eggs and then found them impossible to peel? I make mine in a pressure cooker, but this method should work with a regular pot.
Boil the eggs in water just to cover, in a big pot. When they are cooked, add a lot of cold water, so the water becomes cool very quickly.
Take each egg and crack them a bit, and then stick them back in the pot. This allows air and water into the egg.
Crack the eggs and pull them open.
You should be able to pull the eggs straight out.