How did the traditions of bowing, shaking hands, kissing hands, and other greetings start and end?

I once read that a man is not supposed to extend their hand first for a handshake, but rather wait for a woman to extend hers. The passage also mentioned that at work in modern day this doesn’t necessarily apply.

Some cultures have rules about touching a woman, or men and women touching in general. This includes what most would consider to be completely platonic like when first meeting.

Many Asian cultures have a custom of bowing. How did that develop? I’ve seen Arab men kissing when they meet. It’s interesting within Asia how different those two things are. I realize we are talking about countries very far apart though.

I’m interested in facts about how these various ways of greeting developed, or how they changed over time. I also welcome opinions on the topic.