If you are migrating from a server using cPanel as the hosting control panel to a server using LPCP as the hosting control panel, you would need to update your script configurations to use "lpsql01.lunariffic.com" as the MySQL host instead of "localhost", since the databases are stored on a separate server on LPCP servers.
If you need to migrate the actual databases, you can simply create the databases in LPCP > MySQL Manager, then import them using phpMyAdmin. When you login to phpMyAdmin, you would click the database name on the left side, then click the "Import" tab at the top. Here, you can select the .sql file from your local computer to import from.
Other than this, you should not need to make any changes to the configuration of your scripts in regards to connecting to the databases.