Not to be confused with boiling frogs, yet the concept is similar!
As you have no doubt been taught (or not) always start with cold water. I usually allow 20 minutes from the time I turn on the stove until they have boiled enough. Next – and this is the important part – I place the pan with the still hot water under the tap in the sink and allow a very small stream of cold water to displace the hot water. Once the water is of a temperature my hands can tolerate comfortably I remove the eggs.
The mistake most people make is they dump out the hot water and add cold water, causing an immediate contraction of the shell, and the irritating membrane that is between the shell and the inner content. Hence the difficulties in peeling said eggs.