If possible, start with eggs that are about a week old. Generally, the older the egg, the easier it will be to peel. Using an ice bath immediately after the boiling process will promote rapid cooling, which in turn causes the egg white to contract, releasing it from the egg's membrane. The shock of cold water also firms the egg white proteins. This all makes the egg easier to peel. For easier peeling, peel hard-boiled eggs under cold, running water.