For easy-to-peel eggs, steam them rather than boiling them. To do so, add about 1/2 inch of water to the bottom of a medium-sized saucepan with a tight-fitting lid. Add a steamer basket if you have one, but it's not necessary. Over medium-high heat, bring the water to a boil. Turn the heat off. Carefully add the eggs to the basket or just to the bottom of the pan. Cover and return to a boil. Steam for 12 to 15 minutes. To check the doneness, you might add an extra egg and check it at 12 minutes to judge the cook time. Once cooked, place the eggs in an ice bath until they are completely cool.