Man, they're a pain to peel. I cook them slow, chill them, but still peeling them is a chore that seems to end up removing half the outer white. More so, as the golden treasure inside our home grown eggs is so very yummy. I'd never had golden orange egg mayo until we had our own hens.
Anyway, in desperation for my egg mayo sarnies I googled for it! Below is a no peel way of doing it, just involving a teaspoon of baking soda in the water, taking each shell end off and blowing them out. Cool!