I guess depending on how many OTA channels you receive, and if you would find value in having an on screen TV guide (and PVR) you could also consider getting something like the Channel Master DVR+. This would take in the coax connection from your OTA antenna and give you a HDMI output to your TV. I would imagine your Harmony remote might be able to be set up to control this box too. You should also potentially see a better picture.
If you are looking at the cheapest solution, then the splitter ideas presented above are your answer.