Right after you take them out of the hot water, plung them in a bowl of ice. The shock of going from the hot water to the ice helps the egg pull away from the shell. You then have to peel them right away or the egg will fill the space back in the shell, making them hard to peel. You can also prick a hole in the shell with a sewing needle before boiling and that helps too. If the eggs are brown eggs, they always are harder to peel then the white. The shells tend to be thicker than the white eggs. I also use salt in the water. This has always worked for me. I learned this tip from a little old lady when I worked in a Nursing Home.