Wow, what a great time to be buying a projector!
$1,000 will buy a very nice 1080P projector these days. With $1,500 you might be able to get one with 3D.
Unless you have placement issue and require lens shift, I recommend DLP projectors because they are maintenance free and very reliable. I have two. My first DLP projector is about 7 year old and still works like new. The second and current DLP projector is only a year old and already has almost 2,000hrs on it. It just works and works.
I love my DLP projectors because I don't have to deal with cleaning the filter, dust blob issue, convergence issue, burned out polarizers, etc., etc.