Kaman,
Yes, TNG stands for "The Next Generation"

When I first went on-line in 1989-1990 it was to BBS systems you dialed directly into. One of the BBSs was a Treck site at the height of "TOS or TNG" battles. My screen name left no doubt as to my position on the subject. It stuck.
Anyway, as long as you don't live deep in the "holler" in good ol' KY you should have no problems on a clear day. On windy days it depends on the tree situation. The more the trees move around the more the signal-freezes you might see as the signal gets bounsed around the wet leaves! At least wood construction with vinyl siding will be nealy no obstruction to the signal!
You may have some multi-phasing issues which translates to "ghosts" on regular TV, but mean NO USABLE SIGNAL on a digital signal. The solution is counter-intuative. You may need to attenuate the signal! If you limit the signal coming down to the TV, only the strongest will make it though and the multi-phase signals will be too weak to do any harm. In Alexandria the signal should be plenty strong either direct or "bounced" off a hill.
As I said, I use rabbit ears sitting in a window to get my digital channels. When I first set it up I had the telescoping antennas up as high as they would go. I tried valiantly and got a booming signal from some stations, but I could not get anything from 9 or 48. 19 and 12 were spotty. 5 and 14 signals were booming! You will probably not get 14 like I don't get 54...localized channels.
No matter what I did I could not get the other channels. When I tried the analog counterparts just to see what I got, I was getting a great signal (no static) but they all had some severe ghosting. As I knew the cure for that... less signal. I lowered the telescoping elements of the rabbit ears and the picture were quite good for OTA reception on all the local channels. The Dayton channels were "sparkly" but okay. I then did a digital scan and SHAZAM! All the local HD/DTchannels came in perfectly and stable (no freezes) (5, 9, 12, 14*, 19, 43*, 48 and 64). I got 3 of the 6 Dayton channels right away (2, 7, 16). With some tweeking I got a 4th (45). I still can't get 22 NBC or 26 CW. But I suspect that is because the channels they use for the DT signals are also used in areas south of here so they are probably highly directional as to not interfere.
From Alexandria, you stand a decent chance of getting Lexington local channel too. Again, this depends on how deep in the "holler" you really are.
*BTW you will problably never be able to pick up 14 or 43 (PBS & TBN) in Alexandria
See ya
Tony