Shaking hands properly is a mark of professionalism and sets the tone of the interaction. Too strong a shake, or too limp, and you put people off.
1. Extend your right hand, perpendicular (at a 90 degree angle) to the ground. Don't tip it to either side.
2. Exert the amount of pressure you would if you were squeezing an avocado. No more, no less.
3. Hold the grip for a moment with a brief up and down movement, then release. Do not cover the handshake with your left hand. Do not pump the hands as if you were priming a pump.Here's a good article on handshaking: