Please keep in mind that LiveZilla is not a hosted solution, which means that LiveZilla needs to be installed on your local computer (step 1) and on your webserver (step 2) as well.
The LiveZilla installation on your webserver is called the LiveZilla Server. Once you have finished step 1 & 2 you can proceed to the final step, which is to integrate LiveZilla with your website(s) (step 3).
Better safe than sorry ...
» Use a separate MySQL user Account and a secure password (> 10 chars, alphanumeric).
» Use a separate Web-User and make sure that the LiveZilla Web-User has only file permissions within the LiveZilla folder.
» Always use strong passwords (> 10 chars, alphanumeric).
» Use only HTTPS/SSL for all connections.
» Change the username of the LiveZilla Administrator (don't use administrator, admin, root ...) and don't use the administrator account for external chats.
» Backup your data regularly.
» Never use outdated versions of LiveZilla, apply all updates as soon as they are released.