Well actually, it's doubtful you have any absolute links, other than those I saw to external sites, and those you would not want to change of course. If you just used Joomla in conventional way, you would be fine.
The only way you would have abs links is if you typed them in manually in an article, or menu item, which is probably unlikely. You would have to have typed in something like this
<a href="http://free4udirect.com/free/index.php/software.html">Software</a>
I doubt you did any of that, but only you would know. If you just used Joomla tools in admin to link to articles, import images etc, you should be fine. Its only your site's abs links you need to think about. Not those like the google leads, PHP etc,which I saw, those would and should remain the same.
If you know how to use PHPMyAdmin, you could actually search your db and see if there are any instances of absolute links to your site, but as I said, it does seem doubtful. You really should backup your database before the move also. I use mysqldump from command line, but there are joomla extensions tht will back up your whole site, and I think there are even packages for moving a site. You might take a look at
www.joomla.org and see what you can find.
Not sure if Hank mentioned it, but also in configuration.php you need to edit
var $log_path and var $tmp_path as they will be different when you move it.