I've Always Wondered

How do you decide when to shake hands with a guy?
I've always considered it the man's prerogative to offer his hand.That is until I read this short excerpt from "The Frisky". Ironically, I had the opportunity to shake a man's hand tonight before I came home and read the article.
The entire piece centered on flirting with a guy but in particular I felt this excerpt provided the best information.
"Introduce yourself and offer him your hand to shake. When he shakes your hand, hold his gaze and smile. You should disengage from the handshake first so you don’t come on too strong (a girl who won’t let go is creepy). Glance down as you take your seat, then back up again at him with a slight smile on your lips and in your eyes."
In the past, when I have shaken a man's hand, I obviously don't squeeze tight and try to slide my hand gently from his grasp. Judging from this bit of information, I can be a little more aggressive when I'm introduced to a man.