The main thing is to use lots of salt in the water, especially if they are new eggs. I also use a little vinegar, this helps the egg whites gel if they get a crack and you don't end up with whites all over in your water. I put room temp eggs into room temp water, bring to rapid boil, turn off and put lid on pot for at least 10 min. I then drain, put the lid on them and gently shake them to cause the to get cracks in the shell then cover with cold tap water. The water will get under the cracked shell and help the peel easier.