That is really all there is to it. The software just needs to know where it's data resides. The only thing that is changing is the server name/ip, and optionally the SQL credentials and/or Database name. Each Laserfiche product (that requires a database) has an option to update this either in the configurator or the administration console.

Just make sure no users are accessing the system before you start the backup, by shutting down the services, this way they don't make changes.

You can create a SQL backup and restore, or shut down SQL, then move or copy the MDF/LOG files.

I prefer taking a fresh backup file rather than "moving" anything over. This also cleans up the logs and fragmentation.