So I only had a slight hitch in my backup. I had to locate where WordPress defines the base bits of all the URLs that stem from the home page. Turns out this is all located in the mySQL database which is easy enough to change.
So first thing was first I transfered a copy of all the files on my ftp to the new location. I then did a mySQL backup and moved that to a new database for the backup. Lastly I used 3 mySQL statements to rewrite the base values for the URLs. I followed a guide at this link here on specifics (http://www.mydigitallife.info/2007/10/01/how-to-move-wordpress-blog-to-new-domain-or-location/).