jQuery plugin browser compatibility an issue?

jQuery plugin browser compatibility an issue?

Hi
I am trying to decide how to start with a browser plugin, I have no experience from plugin development. Firstly I am concerned with browser compatibility. I have also looked at MDN:s WebExtensions API, that should be very "cross-browser", however, it is under critic from many developers for being very restricted. Then I now find this, jQuery plugin alternative! Is there a problem with browser compatibility here, I mean, do I have to create separate plugins for Chrome, Mozilla, Safari etc..? What I want my plugin to do is get selected text from a web page, copy it and send it to a database on my server, plus having some popups...thankful for any answer.