Help me understand the HTML for mobile devices idea...

Help me understand the HTML for mobile devices idea...

Hello,
 
Let's see if somebody can help me understand the HTML for mobile devices idea.
 
  • If for example, I have a "normal" web page, working with HTML + AJAX, that renders well on desktop browsers, do I need to write a specific mobile version of the website? This is what is JqueryMobile for?
  • If I am right at the first point, how do I send the user to one or other version of the website?
  • If I'm not right... what is it jquerymobile for, and how should I implement a version of my website that renders well on mobile devices?

If there is any getting started guide regarding to this, please refer it! :-)

Thanks,
 
JB