Vinegar is one of the best natural odor removers and it does a fantastic job of absorbing the smell left behind by cigarette smoke. This not only wipes away bad smells but seals the wood to prevent new odors. How To Remove Musty Smells From Furniture Drawers Hunker Cleaning Hacks Old Dressers Drawers Smell How to Remove Smells From Cabinets. How to remove odor from wood cabinets . To remove the musty smell wipe down the cabinets that are affected with a solution of 1 part vinegar to 1 part water and a few drops of liquid soap. Covering or sealing every square inch of your stinky furniture with shellac will get rid of the smell. Covering every square inch of the furniture will get rid of the smell. Wash the cabinets well with soapy water. With time patience repetition and perhaps a few different methods you can eventually expunge the smell from wood cabinets and desks. Baking Soda or Carpet Powder Again this one is for more mild to moderate smells. Bleach can remov...