Place the eggs in a saucepan and cover with cold water. Cover with a lid and bring to a full boil. Leave the lid on the pot and remove from the heat. Keep the eggs covered with the lid for 12-14 minutes. Uncover and place the pan full of eggs under cold running water. Run cold water over the eggs until the eggs are cool.
Peel the eggs as soon as they are cool, to avoid having the membrane stick to the shell. Tap the eggs with a spoon or on the counter to crack them all over and then start peeling at the wider base of the egg, using your fingers or a spoon. I've found that peeling them under barely running water often helps as well. Enjoy!