It should be an easy swap ....
- Remove the HR44's AC power
- Disconnect the coax cable connected to the back of the HR44's SAT INPUT
- Disconnect the ethernet cable from the HR44
- Remove the bedrooom Genie Mini's AC power
- Disconnect the coax cable connected to the back of the Genie Mini
- Move the HR44 to the bedroom and connect the HR44's SAT INPUT to the satellite coax cable
- Connect the new ethernet cable between the router/modem and the HR44's ethernet jack
- Power up the HR44
- Connect the Genie Mini to the Family Room satellite coax cable
- Power up the Genie Mini