There are three basic ways to connect the HR44 Genie to your network.
1. The HR44 has a built in wireless that is designed to connect wirelessly to your Wi-Fi router. This system has all the restrictions of any wireless connection.
2. You can connect a Cat5 Ethernet cable directly to the back of the HR44 and thence to your router. This is a clean, simple and very reliable connection but does involve snaking a cable through your home.
3. Run a live coax cable from the Directv signal "tree" to your router and install a DECA BB Adapter and connect same to your router. This will provide the router connection to all of the Directv HD boxes. This is the method that dtvuser2013 was referring to and may be your best bet.