Admittedly I didn't read all of the above posts so I may be duplicating suggestions by others, but I would recommend a Grizzly GO555 series 14" Bandsaw for around $600. I have one and am very satisfied with it. As a cautionary note don't overlook the extra costs associated with a bandsaw in your $1,000 budget some of which include a variety of blades, dust collection, riser block for reesawing, etc.
Thoughts entering one's mind need not exit one's mouth!
As I age my memory fades .... and that's a load off my mind!
"We Live In The Land Of The Free, Only Because Of The Brave"
“The problems we face today are there because the people who work for a living are outnumbered by those who vote for a living."
"Socialism is a philosophy of failure, the creed of ignorance, and the gospel of envy, its inherent virtue is the equal sharing of misery." Winston Churchill