Open windows or doors in the basement, if any exist. Allow the fresh air to circulate through the room for five to seven hours.
Sprinkle baking soda over upholstered furniture and carpeting. Leave the baking soda on these surfaces overnight to absorb smoke smell.
Vacuum the baking soda off the next day. If smoke smell remains, repeat steps 2 and 3 until it's fully absorbed.
Fill a bucket with 1 gallon of hot water. Add 1 cup of ammonia to the bucket.
Put on rubber gloves so your skin doesn't become dry or irritated by the ammonia solution. Soak a sponge in the diluted ammonia. Wring out the excess moisture.
Wipe down all nonporous surfaces, such as walls, doors and cement flooring in the basement. Rinse the cloth frequently as the smoke stains and odors are removed.
Place four small bowls throughout the basement. Fill each bowl halfway with full-strength white vinegar. Leave the bowls in the room overnight to absorb any remaining smoke smell.