How to hard-cook eggs
Place eggs in a single layer in a saucepan. Add cold water to cover eggs by 1 inch. Heat just to boiling. Remove from heat. Cover pan. Let eggs stand in hot water 15 minutes for large eggs (12 minutes for medium eggs; 18 minutes for extra large). Cool under cold running water; eggs are easiest to peel right after cooling.
To peel a hard-cooked egg: Gently tap egg on countertop until shell is finely crackled all over. Roll egg between hands to loosen shell. Starting peeling at large end, holding egg under cold running water to help ease the shell off.