You can make something hover in the air in a fixed position by using a pair of magnets. One magnet with, say, the north pole facing upward is placed on a base. The second magnet, with the same - in this case, north - pole facing downward is placed in the object that is to hover. You will also need a rod or other vertical support for the hovering object. Otherwise, it will want to shift sideways and will simply fall.
It is easiest if the magnets are hollow cylinders. In that way, the vertical support can pass through the center of both magnets, assuring that the hovering object stays in place.
The magnets need to be fairly strong because the repulsion force must exceed the weight of the magnet plus the weight of the hovering object.
The magnets should also have high coercivity. Coercivity is the resistance to demagnetization. Because the magnets are placed with opposing poles, they are trying to demagnetize each other. Magnets with low coercivity will not last long. Whenever you are done playing with the hovercraft, remove it from the vertical support so that the magnets are no longer in opposition. That will make the magnets last longer.
The best magnets for this type of application would be neodymium-iron-born magnets, also known as neo, NIB, or "rare earth" magnets. The term "rare earth" also applies to samarium-cobalt magnets, which would also work well, but are less common.
Neo magnets are available from science supply stores like Edmund Scientific or from specialty shops like K&J magnetics. Here is a link to K&J's ring magnet page:
http://www.kjmagnetics.com/products.asp?cat=16Magnets like their RX054, RX068 or RX08X0 would work well. Note that these magnets are marked as "axially magnetized". Do not get any that are marked "diametrically magnetized" as these will not work for what you want to do.
Oh, one other thing. Once you have a pair of neo magnets, handle them carefully, as they are magnetically very strong, but physically fragile. Treat them as if they were made from glass. In particular, never allow the magnets to move unrestrained toward a hard surface and especially never allow them to smack together (it happens easier than you would think).