For 1,000 you will be hard pressed to find a real HDtv.
There is what is called "HDtv compatible", which is the same thing as ED (enhanced definition). Basically they just don't have built in HD tuners in them and have lower resolution also.
Plasma/LCD is a big debate with good points on each side. Personally, I own a plasma. They are a little cheaper to buy, and have better contrast (the difference between blacks/whites). LCDs use less energy, and you also don't have to worry about "burn-in" if you leave an idle screen on too long. Obviously each side has its advantages, and there is no clear cut winner. I went with plasma, largely just because of the price difference.
I don't think you will be able to find a decent plasma at that price range though, I bought mine a month or so ago for a little over $2 grand (42"). That's about the price range for a very nice plasma set.
You could probably find a decent CRT (cathode ray tube) for that price range, and probably even find one with a built in HD tuner. That's probably what I would do if spending the extra money is not an option.