Firm Handshake

A firm handshake is a sign of self-confidence.  Recognize that some cultures keep the handshake going for longer than others.  Texas has long handshakes while New York tends be fast.   

Be cognizant of how you shake a woman’s hand.  There are plenty of non-verbal clues on what to expect when shaking a woman’s hand.   

Japan is completely different – you must know the seniority of the person before engaging.  If you’re not first in shaking hands with the people you’re meeting, pay attention to their approach.  Some like to talk while holding your hand, others don’t.   

If you're nervous or you have sweaty palms, dry em off before engaging.  Sounds funny but no one likes to shake a sweaty hand.  

At all costs, avoid the fishy handshake as it speaks volumes about you.  Don’t forget to smile.

For more information, here is a great article on the topic.
http://saleshq.monster.com/careers/articles/3505-the-abcs-of-handshake-etiquette.