Marilyn, you, too, can cook a perfect egg, with no overcooked green ring and easy peeling
That is, when you find the time.
Prick the large ends of the eggs with a drafting pin. (You can do this in the carton, after turning them upside down.) Cover with cold water. Bring to a boil. Turn off the heat, cover the pan, and let sit for about 12 minutes (a few experiences with the same pan and # of eggs will give you an exact time). Drain and add ice and water to the pan to stop the cooking and cool them down. Give each one a light smash against the side of the pan so a little water will seep under the shell while they cool. They should peel easily in a few minutes. (If they don't they were too fresh in the first place.) Store peeled eggs in water, uncovered, in the fridge.