I would recommend after getting the Back up and Migrate SQL dump from your current site,<br> Go to your new host and upload all your files,<br> Go into sites->default and rename the settings.php file to something like old-settings.php<br>
Then make a copy of default.settings.php and rename it to settings.php<br> On your new server, create your DB and DB-user<br> Then run the Drupal install like you were installing a new site<br> Then import the SQL dump file from the old site<br>
<br>That should do it.<br>