Plasma will undoubtedly give you the best picture quality espceially for night time viewing. Yet, for all outside the AV nut job croud, modern LED TVs work just fine. Further, LED is the prefered technology since it will provide the maximum light output of all, and that is needed to compensate for the ample ambient light in the room. Last but not the least, there will be no worries of image retention or burn in if the same image is left on screen for extended periods of time.
The only LED technology drawback to be aware of is, viewing quality when seated off axis. This consideration is explained
here and pictured thusly (this is in a dark room, bright rooms will be worse).
The off axis picture quality degration can be mitigated by getting a large TV, increasing the distance to the it and attempting to keep most frequently used seats in a +/- 35 degree angle from center of screen. In a room that big, you should aim for a 60 or 65" set.
In your budget the Samsung UN60ES8000 seems to be a good choice with many glowing reviews
1,
2,
3. The Cnet and LCD TV Buying Guide reviews have settings used to judge the TV.
It is available for $2099 at
Abes of Maine and they might just price match $2009 from
PowerSellersNYC.