I too hard boil my eggs in the same way and I pierce the larger end of the egg using the sharp end of an ear of corn holder. After cooking, I pour off the hot water, vigorously shake the eggs in the pan to crack the shells, and then refill with cold water. After about 5 minutes, the eggs peel very easily. Except, of course, extremely fresh ones!
I too hard boil my eggs in the same way and I pierce the larger end of the egg using the sharp end of an ear of corn holder. After cooking, I pour off the hot water, vigorously shake the eggs in the pan to crack the shells, and then refill with cold water. After about 5 minutes, the eggs peel very easily. Except, of course, extremely fresh ones!