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.
Before you start filming, set a music budget and research your local copyright laws. Copyright law can be very difficult to decipher, especially when you're dealing with digital content. Bottom line: Most music isn't free. If you use another artist's music without permission or proper licensing, you risk video removal and legal action. In order to avoid copyright infringement, you'll need to find royalty free tunes or pay a composer to create an original score. Royalty free songs aren't free to use; they're quality songs available for a single flat fee. This means you don't have to worry about paying additional licensing fees or royalties in the future. YouTube, Pond5, and PremiumBeat are all great sites to find royalty free music.
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.