Not to be rude, but you should click on the Signal Analysis FAQ link near the top of your report. I'm going to use terms that are spelled out there much better than I could here.
(wait...wait...wait)
The reason why the monoprice "20 dB" antenna does not work is the amplifier inside it. You have tremendously strong signals (I'll explain why in a minute) that are either overloading that amplifier, or, surviving that, are certainly overloading your tuners. Crazy things happen - signals bleed all over the place and get distorted. You may have noticed this on cheaper FM radios when near a station - you hear that station in many spots up and down the dial.
Look at the table that should have the rows color coded and has columns titled Callsign, Real, (Virt), etc. I see that you have 17 or so channels that are coded green, which implies that an indoor antenna should work. Check out the MN column, remembering that you need a net of +10 for reliable reception. 90% of your major affiliates have NMs of +60 or better! (The PBS stations are not far behind.) What that means in real numbers is those signals are 100,000 times stronger (50 dB) than you need. Given your circumstances, a paper clip should work.
Second, examine the Real Channel column (the actual RF channel used.) Note that KMGH and KUSA are broadcasting in the VHF, specifically the high-VHF, band, so whatever antenna is chosen needs to recieve that band of signals as well as the UHF band. If you were feeding just one TV, a Terk HDTVi would suffice (the i is important - it's the non-amplified version). To your advantage, note the Azimuth column. Although the radar plot above the table shows signals coming from many directions, the ones you would care about come from just one - 305 degrees by a compass. This means you should be able to set the antenna and forget about it.
As far as feeding multiple TVs via the house wiring - I'm pretty sure you need to isolate the cable internet from everything else. As a first step (since it has no active, or powered, circuits inside it), you can just connect the Terk to an unused jack and see if you get any reception. If that doesn't work, you're going to have to figure out how the cable runs are connected and rejigger the splitters as you need to.
If all that doesn't work, then the best outdoor antenna for your situation is the RCA ANT-751. It's not very big, and all you need to do is be sure it is above any local obstructions (from the adjoining townhouses). Route the cable as you need.
If you find that that the jacks are somehow not connected together, I would strongly recommend using only one 3-way splitter to join cables to the antenna (indoor or out). The more connections the signal has to pass through, the greater the opportunity for reflections and distortions to show up and ruin the party.
That's just my first thoughts. Anybody else?
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