To move a web site, do this:
- create a web site and database in ISPConfig
- create an SQL dump of your existing database
- import that SQL dump into the new database
- move the web site's files and folders to the new web site folder
- adjust paths/database settings in the configuration files of your web applications.
- you might also have to adjust ownerships/permissions of files and directories after you've moved them (if you get any error messages)