The new BitTorrent client is pretty nice, and much easier to use than Azureus.  

Give it a look, it's probably what we ought to recommend for newbies.

Perhaps the simplest way now to do Bit Torrents is the new Version 9 of the Opera web browser.  It has built-in support for torrent links.  Just click on a torrent link on a web page and it does it all by itself.    Get it here:

    http://www.opera.com    

My default app for torrents is the Shareaza multi-protocol peer-to-peer client.  Shareaza supports Bit Torrents along with Gnutella, Gnutella II, and ED2K.  It popped up and started downloading the Discovery video clip as soon as I clicked on the link in the original TOD post.   Got the whole thing in about two hours on a 768K WiFi DSL link.   Shareaza is totally open-source with no hidden spyware/adware agenda.  Get it at:

     http://www.shareaza.com

By far the best, lightest, and easiest-to-use torrent client is utorrent:

http://www.utorrent.com/

The download is just 160KB!