Combine one cup of bleach and one gallon of water in a large plastic bucket. Wear rubber gloves, to protect against the bleach. Dip a nylon scrub brush in the bucket and scrub the wood furniture. Keep dipping the brush into the mixture and scrub all areas of the furniture to remove any mold. Rinse with a garden hose.
Check the patio furniture carefully, looking for any signs of holes, chips or splintered pieces of wood. Sand the area carefully with fine grade sandpaper. For splintered wood, use a thin coat of waterproof glue over the top, push the splintered wood back in place and shut tightly with a clamp.
Apply a thin layer of wood filler across any chips, cracks, holes or damaged areas of the wood. Use a putty knife to gently smooth out the surface and make the wood filler even with the surrounding wood. Lightly sand once the filler dries completely.
Paint the furniture with a liquid wood stain. Dip a paintbrush into the stain and apply with thin, even strokes. Wipe off the stain with a dry cloth, removing any stain that pools across the wood. Let the stain dry completely.
Rub teak oil all over the wood furniture, once the wood stain dries. Teak oil moisturizes the wood, protecting it from drying out in the future. It also forms a protective coating that protects the wood patio furniture from environmental dangers.