Pump systems with pinch valves for surgical procedures. At least some of the example embodiments are pump systems including a stationary housing defining a front face. A tube support extends outwardly from the front face for aligning and supporting a first tube and a second tube. At least one pinch member is movable relative to the tube support by a power actuator operably coupled to the at least one pinch member and configured to have three orientations that define: a first arrangement of the pinch member relative to the tube support configured to pinch closed the first tube, a second arrangement of the at least one pinch member relative to the tube support configured to pinch closed the second tube, and a third arrangement of the at least one pinch member relative to the tube support configured to pinch closed neither the first tube nor the second tube.