If you want to completely clone your existing site into the new account, Backup Voodoo is the easy way to do it.
Install and run it on your existing site.
Download the zip.
Upload the zip to the new site where you want the concrete install.
Unzip the zip.
Use the host control panel to crate a database and import the sql that was unpacked from the zip (in the backup voodoo folder).
Then finally(and most importantly) edit the new sites config/site.php to point to your new database and remove any old host specific stuff from .htaccess file.

As an intermediary, you could create an offline clone just for practice before making the new host clone.

http://www.concrete5.org/marketplace/addons/backup-voodoo/...

Hello julieee,

It looks like hostpaedia uses cPanel just like us (Webhosting Hub). Here is a link to a full walk-through I did on transferring your website to us. It is most likely a very similar process:

http://www.webhostinghub.com/support/edu/concrete5/get-started/move...

Hope this helps,

-John-Paul