You can make eggs in a variety of ways and this tutorial demonstrates how to make poached eggs.
The first trick in this video is to poke a tiny hole through the shell of the egg before boiling them. This will make removing the shells much, much easier.
Put the eggs in a strainer and let them boil on top of the water for several minutes. Once ready, crack open the eggs and put them in the water for a few more minutes.
Just whip them up to serve!