Combine 1 quart of water, 1/4 cup of ammonia and 2 tbsp. of white vinegar in a container.
Dip a soft scrub brush into the cleaning mixture, and scrub the surfaces of the cedar furniture to remove dust, dirt and grime. Rinse the brush in clean water as it becomes soiled.
Rinse the furniture thoroughly with a water from a garden hose. Allow the furniture to dry in full sun.
Mix 1.5 gallons of water with 1 quart of bleach containing 5 percent sodium hypochlorite.
Dip a clean, soft-bristled scrub brush in the cleaning solution and scrub the mildewed areas of the wood.
Rinse thoroughly with water from a garden hose, and allow to dry in a sunny area.