I was always under the impression it was bad manners for a man to offer to shake hands with a lady, he should always wait until she proffered her hand first. Maybe I'm just old and English.
I know a brother who always shakes everyones hand at the meeting and I got a bit fed up with it so I gave him a Masonic handshake in return once. (I worked with several Masons). He has never offered to shake my hand since.