As far as distribution, I connect my antenna to an HDHomeRun device. I can either stream directly from the device, use a DLNA client on my LAN, or I also have it hooked into Plex server for DVR and live remote viewing.
A basic HDHomeRun device goes for around $100 but I'm sure you can pick up an older model on eBay for less. You could even bridge it into a raspberry pi or some other wifi device so that you don't need to run Ethernet cables around.