OT: damn eggs

Is there anyone out there who can give me the secret to hard-boiled eggs?! 
I 
promised deviled eggs for my mom's party, and I cannot peel the damn
things!  In 
all my years, I've never figured out the secret.  Why is it that sometimes
they 
peel like a dream, and sometimes a nightmare.  And this is the worst batch
I've 
ever had!  Every little piece of shell is pulling off egg with it.  I've
just 
completely smashed 3 of them in frustration, and walked away from the
rest.  :-(

I did buy fresh eggs, so that isn't the problem.  I might have overcooked
them a 
little -- is that the problem?  All I know is that I'm about to tear my
hair 
out!

Xorra