I was told before I signed up for this service that I could "move" my service from one location to another.

Pretty sure that installers have to upload a configuration file for the beam assignment for the modems, plus the ODU tends to be locked to the modem in my limited experiences.  I know the modems I have, when I have gone to install/re-install them, when it comes to beam selection, has only ever listed the beam I am under.