Lay your Burberry coat on a clean, flat work surface. Roll a lint roller over the entire exterior of the coat to remove surface dust and dirt.
Dampen a soft cloth with water. Pour a capful of white vinegar onto the damp cloth. Squeeze the cloth to remove all excess moisture.
Dab and wipe gently at any stains on your Burberry coat. A diluted vinegar solution safely spot cleans leather, suede, wool, raincoat material and any other coat material.
Press a dry cloth into the coat material to absorb moisture. Hang your Burberry coat on a padded hanger and allow it to air dry.
Absorb any odors in your Burberry coat with baking soda. Situate a plastic container filled with 1 cup of baking soda in the bottom of a large trash bag. Place the coat on the hanger inside the bag and draw the bag up and around the coat. Close the bag by twisting the top around the hanger and secure it with a twist tie.
Hang the coat in a closet or room for 24 hours to allow the baking soda time to absorb unpleasant smells. Remove the coat from the trash bag and hang it in the closet until the next time you wear it.