Just download all the Interspire Website Publisher files from your current server and upload them to the new site.
You will also need to get you database transferred. The easiest was would be through "phpMyAdmin" which hosts usually provide you access with. In there is an "Export" option. You should be able to use the "Import" option on your new host to get the database back in.
On the new host, the database details may not be the same so you will need to open up /admin/includes/config.php and find these lines:
$GLOBALS["AL_CFG"]["dbUser"] = "username";
$GLOBALS["AL_CFG"]["dbPass"] = "password";
$GLOBALS["AL_CFG"]["dbDatabase"] = "database_name";
$GLOBALS["AL_CFG"]["dbServer"] = "localhost";
and change them to reflect the new server details.

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