Many of us have had this exact thought and wondered if it was feasible. As it turns out, you can, in fact, just buy a bunch of magnets and make a levitating bed. Those magnets need to be extremely strong, so [mememetatata] used some rather large Neodymium magnets. This frame involved some careful planning since these magnets can actually be quite dangerous if not handled properly. [mememetatata] did manage to get everything spaced correctly and now has a bed that can levitate holding up to about 250 lbs. We really want to know what it feels like. That kind of thing seems as though it would be difficult to describe.
As usual, more information might be available in the reddit thread.