I use a light box and two bedside lamps with high watt bulbs in them. The light box only cost $15 and I use a regular, everyday camera. If I play around with the white balance setting I can normally get reasonable white background pictures.
You can also get pretty good white background photos just by taking photos of your models outside, on a sunny day and using a white towel or cloth to place your models on. (you want something that is white but not shiny hence I think cloth can be better than paper or cardboard). If you drape the towel/cloth over a deck chair you can get a gradual curve to hide the horizon.
Of course touching up the photos with a photo editing program helps a lot.