1.  Bring water to a boil.  

2.  Gently lower eggs into water.  

3.  Boil for approx 10-13 minutes for hard-boiled, less time if you want the yokes to be more runny.  (I haven't tried runny yokes, so I can't vouch for how it works.  I boiled mine for 13 minutes.)  

4.  Pour off hot water.  

5. Gently crack eggs (they only need a hairline crack or two, but this is a crucial step in the process).  

6.  Submerse in ice and water... the colder the better!  

7.  After 10 minutes the (fully-cooled) eggs should be ready to peel.