Okay if you want to move a database, just go into phpMyAdmin and export the database into a .sql file. Then on the server that you're moving to use SSH/Shell to restore the database.
Command to execute in Shell for database restore:
mysql -u root -psecret -D stocks2 < stocksdb.sql
root = your cpanel usernamesecret = your password
stocks2 = the database you want to restore your sql file into. This must be created already!
stocksdb.sql = the path to your .sql backup you have of your invision board. In this case the .sql would need to be placed in your / directory... just outside of public_html.
Execute that command in Shell and it will restore your database, then just move over your FTP files and you're good to go!