At 59th and Georgetown you might be able to get a surprising amount of channels by just running a length of coax off your antenna port. I used to live in your general neck of the woods and cheap rabbit ears were all we needed, but a lot of that depends on specific topography, height of antenna, etc.
Rabbit ears didn't work in our current house with a TV in the basement. I put something cheap like this in the attic, works perfect: http://www.amazon.com/Eagle-Aspen-EASDTV2BUHF-Directv-Approved/dp/B000GIT002/
I have a Channel Master 8 bay UHF.
The HDX1000 is almost for sure a 2 bay UHF inside. Example:
So the performance downgrade would be around a factor of 4. The 8 bay would be very directional so if your signals are spread out over an arc the HDX1000 might actually be better in practice.
The Stealthtenna product page is here:
From that we see that it as quite weak on VHF but you don't need VHF. Comparing it to the 4 bay UHF type (CM4221HD), we get 10 dB for the 4 bay and 6 db for the Stealthtenna. That means that the 4 bay would receive over twice as much signal.
Note that a 2 bay UHF type like the Channel Master CM4220HD has 8 dB of gain and so also outperforms the Stealthtenna. I guess the decision would come down to mechanical considerations. Do you need a pointy antenna or a flat antenna?
Added: A friend bought one of these:
... and it came with the grid reflector painted black. That makes it fairly hard to see..
It doesn't seem necessary to get some big honking antenna on my roof.
If you can't do anything else, you might consider a really small antenna on your roof with an attenuator. Your root problem is that you have signals coming in at right angles to one another. For a single antenna you might consider a 2 bay UHF type pointed southwest. Example:
If that doesn't work you might consider two, perhaps more directional, antennas pointed at each cluster of transmitters and then combined.