The quality of chinese drill presses requires some tuning after purchase. Typically lining up the drive pulleys, adjusting chuck/table angle are required but relatively easy to achieve.
The problem area is in machined slack mainly in the quill.
Tip 1 always buy the machine you can check out yourself not one out of the box. The machining tolerances seem to be quite wide.
Tip 2 Don't just test for slop whilst the quill is retracted or at full extension. Fully extend then back off slightly - if you can feel slop in any direction find a better machined press.