White light has the entire color spectrum in it and plants are very capable of sorting out the colors they need on their own. The important part is having a light that is considered a "daylight" bulb. If the light your bulb is giving off appears white or bluish, it is a daylight bulb. If it appear yellowish, its not.
You may have to place your light very close to your plants, maybe only a couple inches above them, so watch for heat build up. Plant or reptile heat mats always help in seed germination.
Your house sounds awesome (except for the heating bill)