Abstract: Disposable protective covers for pet beds, automobile seats, automotive trunk interiors, furniture and other solid surfaces stay in place, preferably using detachably re-releasable adhesive. Once protected, the protected surface can still be used for its intended purpose by its customary user, such as a pet or person for sifting, sleeping, laying, etc., because the disposable protective cover has a top surface that is pet-friendly or human-friendly, as the case may be. One such disposable protective cover is a relatively-flat two-sided adhesive article, with detachably releasable adhesive on the surface that contacts the pet bed or other surface to be protected and with lighter adhesive on the top surface (and/or other components for retaining dust, dirt, hair, etc.).