you only need to transfer the web pages which should be sitting in the root directory and the mySQL database. The ISP will have some kind of control panel that will allow you to enter the SQL statements to create and load data in the initial dataset up to the ISP's DB.
if you use phpMyAdmin to manage the DB, you can use it to do a dump of the DB and the SQL file that is created can be cut and pasted into the ISP's control panel.
The only utility you will need is some FTP program to handle the uploading of the web page files.
hth
bastien