lizerdking
Sharpshooter
Do you want a ZTR, which will only cut grass, or a garden tractor that will be able to pull carts for mulch, plow your driveway, till your garden, etc.?
If you want a ZTR, I would look into Hustlers over Dixie Choppers. With only an acre, you could get by with a 50" or less deck. Meeting the $2K mark with a Hustler may prove to be difficult.
If you want a tractor, my recommendation would be an old Wheelhorse. I picked mine up for $300, and it has been solid. I've even been offered WAY more than I paid because these are the tractors of choice for competition pulling. I don't do that, but I've pulled many big bushes, stumps, etc. out of the ground with it. I can also pick up different attachments for other duties. I do have a cart, and it is nice to use instead of hucking wheelbarrow after wheelbarrow of mulch around my acre lot. I do not have any experience with the newer tractors, so I am no help there.
We 0% 36 month'd a Hustler... Couldn't be happier Cutting about 3.5 acres takes a little over an hour... This thing should outlast me