Okay, we all have our own ways of doing it that works, here's MINE:
Place eggs in pot, fill with water to at least 1/2" above eggs.
Put pot on fire, bring to full rolling boil.
When full rolling boil is achieved, slap top on pot, turn flame off. Set kitchen time to 10 minutes. Go do something else.
Have ANOTHER bowl of water in the sink half filled with ice and water.
When timer goes off transfer eggs out of hot water into ice water.
I happen to like my yolks a pinch underdone and dislike green rings.
Wait until thoroughly chilled before trying to peel, when peeling utilize the crack and roll-roll-roll technique, then begin removing the shell from the fat end, where the air pocket is.
When all else fails, get a spoon and scoop it out of the shell, for heaven's sake, it's ONLY an egg! Get's mashed when you eat it anyway!