If you have a fiberglass tub or shower, you must be very careful not to scratch the surface. Traditional cleaners and scouring pads will destroy your tub. To safely clean these surfaces, make a solution of baking soda and warm water. With a soft sponge, clean all of the surfaces. For difficult areas, add more baking soda to your sponge and work into the area. Once you have removed all of the grime, rinse with warm water.