Without more specifics, this may not be exact directions; but you should be able to follow the idea no matter what model your running.
{I will assume you are using a "dual-tuner" system and running "TV2" to a distant room.}
If this is the case you only need to buy 5 things. 2 splitters and 3 short peices of cable. Disco the cable from TV2 out and connect it to the single side of a splitter. Use one "jumper" cable to run from the splitter to TV2 out. Run another "jumper" from the 3rd port on the splitter to the UHF antenna port. ~~~ In the room where the TV is located disco the cable from the TV and connect it to the single side of the splitter. Run the last "jumper" from one of the ports on the splitter back into the TV. Connect the UHF antenna that you disconnected from the sat box to the remaining port on the splitter.
Basically you just moved your UHF antenna into the room where you TV is, as it will run the signal down the same cable that your picture is comming in on back all the way to the sat box; and since the frequencies are different you will not notice interferience from the remote.