[FrankJ]

I think the used lathed market is very location & economy dependent. Where I am in the south, decent small lathes (anything under say a 12" swing) are hard to find & don't stay on the market long. Larger lathes typically need 3 phase and a dedicated space.

While way under the OP's budget, don't discount the 7 X xx Chinese lathes. They are supported by a large hobbyist group. Lots of available tooling & mods. While sold complete they should be thought of more as a kit. As long as you stay in their capability, they are as accurate as the operator. They do well on shafting and bushings. While no match for a Hardinge in good shape-- good luck finding a Hardinge for $1k with tooling. They can also be moved. If your reality a multi purpose classroom for a work space, they are not a bad choice.