Videomaker – Learn video production and editing, camera reviews › Forums › Cameras and Camcorders › DSLR’s › White Balancing with Moving Cameras › While shooting I would set
While shooting I would set the camera on Auto White Balance. You're probably already doing this.
Then I would use Curves to warm the blue on the "mostly daylight" track, and Curves to cool the yellow on the incandescent track. By placing each group on a separate track you're essentially creating a batch adjustment. It won't be perfect but should cut down a great deal on post time.