Abstract: Apparatus and methods are described for mounting and dismounting tires. Apparatus typically comprises a pressing assembly positionable relative to a fixed wheel rim such that the pressing assembly controls force distribution across selected portions of a tire causing a tire bead to be eased onto the wheel rim. The apparatus typically includes an axis of rotation perpendicular to the wheel rim axis and wherein the axis of rotation is positionable in a plane that includes the wheel rim axis. The wheel rim can be fixed to a base assembly and handles allow positioning and transmittal of force to the pressing assembly. A bead breaking assembly for deflating an inflated tire may be provided. Methods of operating these and other such apparatus are described.