Here are the steps to move FunnelFlux to another domain (on the same server):
OPTIONAL: If your new domain is served from a different folder on your server, first move all the FunnelFlux files to that new folder. This is unlikely.
Log out of your FunnelFlux installation
Clear your cookies for that installation/domain
Go to your customers dashboard and detach the license from the current domain
Login to your FunnelFlux installation from your new domain. It will detect that the license is available and attach it to that new domain or subdomain automatically, which you can check at the link above.