My favorite way: Add 1/3 to 1/2 CUP of salt to the boiling water then, plunge in an ice bath when they're done. Peel when they're cold. It shrinks that inner membrane and they peel like a dream. No, it will not make the eggs salty.
Older eggs peel easier, so if you know you're going to want hard boiled eggs, set however many you want aside in the fridge for about 3 weeks. I'm not this organized, so I always use the salt method.
Someone figured this out a while back and it's the only method I use now. Get your water boiling, add a dash of salt, then add your eggs for 14 minutes. Scoop them out of the boiling water and submerge them in some ice water for a bit. They peel perfectly for me even when they are fresh out of the nest box.
Dont have to add anything, just boil water. And it works. Ive taken them right from the nest to the boiling water, and they fell right out of the shell.
Oh my gosh I was just having this conversation with my hubby who was telling me it was better to just peel them warm and then store in tupperware or something in the fridge...but I didn't want to do that. I wanted to know which egg I was eating...buff or americauna. I just made about 10 hard boiled egss...but before reading this thread. Next time I'm having some ice water on hand! I can't wait! Whoo-hoo! Thanks for sharing!