My hard-boiled eggs are a disaster!

Sometimes the membrane under the shell clings stubbornly to the white. Why? Believe it or not, the eggs are too fresh. If you’re preparing a large number of hard-cooked eggs that you need to peel cleanly, buy the eggs about a week ahead of time and store them in the refrigerator. To facilitate peeling, chill the eggs thoroughly in water after cooking, then roll them gently on the counter to crack the shells all over. Holding an egg under running water, start peeling from the rounder end, where the air pocket is located, and gently lift the membrane away from the white.