I'm not a kitchen gadget girl, but got an egg cooker like quiltingcandy uses as a gift and I LOVE that thing! Perfectly peeled eggs every time!
My mother always cooked the eggs as others have described, with good results: bring the water to a boil, turn off the heat but keep a lid on the pan, let eggs and water cool, then rinse in cold water, roll the eggs on the counter to crack the shells all over, and peel.