Hopefully one good thing to come out of the pandemic will be the end of handshakes, a ridiculous and sometimes slightly nauseating custom. Elbow-bumping can sod off too. There's absolutely no need for physical contact when meeting people. A nod, a smile (or in my case a sort of half-scowl) and a a few kind words of greeting are all that's necessary.
Aw, nothing wrong with a good sturdy handshake, and a look straight in the eye. To me it shows respect. At least that’s how I was raised.