After reading all these ways to hard boil and easily peel eggs, i thought i'd share my way, which works about 97% of the time.
Put eggs in cold water, add 2 T of vegetable oil. Bring to boil. Turn off stove, cover, and let sit 15 minutes. Take big wooden spoon or spatula and crack eggs in the water, or roll them between your hands and put back in the water for about 5 minutes.
I then peel right over the hot pot of water, dunking eggs back in the hot water as needed. Trick is getting under that skin between shell and egg. If it doesn't want to peel away, i take a knife and make a small slice in the egg to help get under that skin.
We love our home grown hard boiled eggs, deviled eggs, and deviled egg sandwiches!!! YUMMY!
And I love my 4 barred rock girls: Millie, Tillie, Gertie, & Flo.