Raise your hand if you've ever had trouble peeling a hard-boiled egg. *Raising hand.* Yep, I admit, I too have had this problem before. And the solution? A fairly simple one, though it involves more than just how you handle the eggs AFTER cooking.
Step 1: Make sure the eggs you will be using are less than perfectly fresh. By this, I mean that you want the eggs to be at least several days old...fresh eggs are nearly impossible to peel because very little air passes through the eggshell.
Step 2: Bring your less than perfectly fresh eggs to room temperature or, if you're short on time, place them in a bowl of warm water for 5 minutes.
Step 3: Cook according to your preference/recipe.
Step 4: When the timer dings, run cold tap water into the pot until the eggs are cool enough to handle.
Step 5: Tap the ends of the egg on a hard surface, then roll the egg on the counter top to crack the rest of the shell. Peel the cracked shell away from the egg under COLD running water.
Step 6: Enjoy your handiwork!