Abstract: Embodiments of a bumper system are shown and described, each being for installation on floor maintenance equipment to prevent damage to walls, furniture, and woodwork, and to make easier and smoother the movement of the equipment around such obstacles. Each bumper system includes a bumper member that may resiliently retract to cushion head-on impacts and to allow the equipment to reach close to the edge of the floor or carpet. Secondly, the bumper member may rotate or pivot, so that, during a side-impact, the bumper member urges or pivots the equipment away from and around the obstacle. Thirdly, the bumper member has a rolling function, so that the bumper member may roll along a wall or obstacle surface. Preferred embodiments include a pie-piece-shaped or circle-sector-shaped member pivotally attached to the equipment head, with the arc-edge of the sector member facing out toward the corner and side of the equipment head, and having a roller connected to the front edge of the sector.