Easter eggs, or any hard-boiled egg for that matter, can be incredibly frustrating to peel. Here are two tricks to making your eggs easier to peel:
1) Use "old" eggs -- these are eggs that are still good, but very close to their expiration date. For some reason, the shells of old eggs peel of much more easily than "new," super-fresh eggs.
2) Salt the water you're using for boiling the eggs. It helps pull the shell away from the eggs once they're boiled.