ok.. i work in a resturant and i have to peel about 300 of the damn things on saturday afternoons for the sunday starters..
the best way ive found is:
have the eggs at room temp before cooking,
boil water and add the eggs, boil for about 8 minutes, this should get hem tender in the middle, if you wnat them solid then cook for 10
once boiled, put the pan in the sink, run under cold water for a while
once cool, drain out the water... then refil the pan with water from the hot tap,
dry your hands each time they get wet! this helps you not to slip and damagethe egg once the shell is coming away
tap the top and bottom of the egg and roll the middle, you should be able to find the air cap, start peeling from here, because of the way the eggs were cooled the membrane should ease away from the shell and you should be able to peel the egg without damaging it..
although this seems complicated it gives excellent presentation,