Contents of Furniture Drawers: Best practice is to remove all contents from furniture drawers. However, you may leave clothing and/or fabric items in small dressers and night tables. For larger, heavy furniture with drawers, doors, and cabinets, please remove all contents to avoid possible loss or damage to the contents or piece during the moving and truck transportation phases. Low Budget Moving and Storage Movers will not be held liable for the contents of any drawers, nor damage that may result to an item due to contents being left in drawers, doors, and cabinets.