Here are the steps to move FunnelFlux to another domain (on the same server):
Move all the FunnelFlux files to the folder corresponding to your new domain. If you are just changing to a CNAME and don't need to move the actual files, then you can skip this step
Log out of your FunnelFlux installation
Go to your customers dashboard and detach the license from the current domain
Clear your cookies (only if moving to subdomain - not needed if root domain is completely different)
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.