Hi Shotmaker:

It's not that hard, - assuming you have a medium understanding of Wordpress file structure, SQL database and can edit a php file.

In short:

1st - BACKUP YOUR ORIG DATABASE AND WP FILES

1. Download your current WP database for your existing WP install using you LPCP Panel for your Lunarpages account using the export function in PhPMyAdmin
2. Create a new data base in your LPCP panel with a new unique name using My SQL Manager
3. Import your original database on your "desktop" computer into the new data base using your LPCP Panel using the "import" function in PhpMyAdmin
4. Copy ALL the files and directories from your existing WP install on your Lunarpages account using a good FTP program or the file manager in your LPCP panel to your "desktop"
5. Edit (using a good code editor like Crimson Editor) the wp-config.php file in the "copy" files on your desktop with the new database info in step 2.
6. Copy all the WP files back up to the server to the "NEW" location for the 2nd WP install you're building.
7. Try logging into the WP dashboard using the new site URL - eg. "http://www.newsite.com/wp-admin"

If everything I just said seems like "Greek", consider reading some of the help/support site pages for "moving wordpress" over at http://codex.wordpress.org/Moving_WordPress