The exact settings on your camera will depend on your model, but there's likely an auto option, a bunch of presets (daylight, cloudy, tungsten, etc.), and custom. Avoid auto white balance at all costs and opt for a preset or custom instead. If you have a top-of-the-line DSLR, there may also be an option to manually set the color temperature of the room, measured in Kelvin.
Professional cameras, like DSLRs, give you fine control over the manual settings of shooting video and allow you to achieve the shallow depth of field (background out of focus) that people rave about. While they're primarily used for photography, DSLRs are incredibly small, work great in low light situations, and pair with a wide range of lenses — making them perfect for video. However, DSLRs do require some training (and additional purchases) of lenses.