An automated sheet material cutting and handling system for producing sheet material articles having a planar shape comprises a cutting surface with a suction hold-down, a suction lifting apparatus, a robotic actuation system for moving the suction lifting apparatus, and a control system for controlling the operation of the cutting device and the suction lifting apparatus. The suction lifting apparatus comprises a suction lifting head including a suction lifting portion comprising a suction lifting plate for applying suction through a plurality of holes in the plate. The control system is configured to operate the cutting device to make at least one cut through the planiform blanks. A resiliently compressible template is adhered to the suction lifting plate. Also, methods.