Various embodiments of the present invention include fan systems for moving air within a room. In some embodiments, the fan systems described herein can be attached to a base that can be mounted on a ceiling, wall, or other building structure. In some embodiments, a single fan may be attached to a first base at a first location for a period of time, and subsequently detached from the first base and attached to another base at another location. In some embodiments, the fan system includes a rechargeable battery, so that the base does not need to be connected to or associated with a power source in order for the fan to operate. Some embodiments of the invention include modular charging systems for electronic devices.