How do I upgrade MySQL to MySLQi?

Our domain thebottomfw.com has recently been redesigned and has been in working order on a development server. After transferring the files and setting up the database many extensions are giving an error that the MySQL is required to be upgraded to MySQLi. After searching Google in reference to this problem on InMotion Hosting servers there was a response by your team in a thread (seen below) to contact support to have the website moved to an appropriate server. Please let us know how we can proceed and what other information you need in order to enable this function.

The website is running Joomla 2.5

http://forum.inmotionhosting.com/viewtopic.php?f=2&t=15938