A few notes...
William, make sure whatever you get presents a good picture from Fox News. You shouldn't be watching that other stuff with your young mind.
When I was looking at TVs, I was determined to get a flat screen. I've had a Sony 27" Triniton I've owned since 1992. It still has a great picture and the only problem it ever had was a solder joint loosen. But, it weighs a ton. For this reason, stay away from anything larger re a CRT. I also wanted a lower profile along the wall. For these reasons a flat screen was a given.
I looked at several brands. Sony was out as too much of the price was for the name regardless of the high quality. In the end, I settled on Sharp as they have the highest resolution and in every example in numerous showrooms, the picture was consistently the best.
I went with a 45" Sharp Aquos LC-45GD6U. Sadly, for what I paid two years ago can now buy a 52".
Your budget of a grand puts you in a 32" range but for the available Sharps you'd have to spend a bit more. I'm using Beach Audo as I bought an HP Media Center computer from them earlier this year for a very decent price.
Sharp Lc32d62u 32" Aquos Lcd Tv $1142
But, for $300 more you can go with a 37"...
Sharp Lc37gp1u 37" Aquos Lcd $1455
Both are 1920x1080. I sincerely recommend the Sharps for any LCD. Just look for the best price from whatever source.
For wall mounting, look online for a company called "Mounts & More." I paid half there for the same mount available at retail stores.
I hope I was some help here, at least with recommending Fox News.