Do any drill bits fit any drill?
Subsequently, one may also ask, are drill bits universal?
Having universal drill bits means that you do not have to own a separate drill bit to match each type of material you intend to drill into (unless you are drilling into glass or ceramics). Quality universal drill bits are not cheap and should therefore be stored and maintained appropriately.
Secondly, do you need special drill bits for a drill press?
There are many types of drill bits, too many to list exhaustively and some of them are suitable for hand power drills and some for hand braces which are hand driven drills. are suitable for use in both hand power drills and drill presses. Top to bottom they are spade, brad point, masonry and standard twist drill bits.
The drill press has a much larger motor and a larger chuck than a standard power drill, allowing for drilling with much larger drill bits than can be used in a hand drill. However, with a drill press, there's no guessing as long as the drill press table is square to the spindle of the drill press.