help with piano selection

[finp]

Uni student keen on learning the ways of jazz piano. Haven't had much luck searching for an ideal piano/keyboard on the net

Criteria: Relatively cheap, durable, i need it to be small enough to be able to fit on my desk (i guess that means a keyboard, but im wondering if there are keyboards that are able to play proper jazz rather than just having a heap of preset sounds that sound garbage)

Basically just need some guidance with the best pianos/keyboards for jazz that are cheap, good for beginners, and most importantly compact and able to fit on my desk at uni residence

Any feedback/help would be most appreciated
Cheers