A transport device (10; 110; 210; 410) for loading and unloading at least one laser cutting machine or fluid jet cutting machine, having at least one workpiece (5, 6) or having at least one workpiece part (7, 8) detached from a workpiece (5, 6), comprising a guide device and a plurality of transport units (15, 16, 17, 18; 115, 118; 215, 218; 415, 418), which are arranged on the guide device, wherein one of the transport units (15; 115; 215; 415) has at least one movable tool device (25; 125; 225; 325; 425), wherein the at least one tool device (25; 125; 225; 325; 425) is multifunctionally designed for transporting and/or machining the workpiece (5, 6) or at least a workpiece part (7, 8) detached from a workpiece (5, 6), wherein one of the transport units (15; 115; 215; 415) is arranged in a first transport unit plane (20; 120; 220; 320; 420), at least two guide device carriers (65, 66) are provided, each with a longitudinal extension for guiding at least one of the transport units, and the guide device carriers (65, 66) are arranged parallel to the at least one transport unit plane (20; 120; 220; 320; 420), and at least one further transport unit plane (21; 22; 121; 221; 421) is provided, in which at least one of the further transport units (16, 17, 118; 218; 416) is arranged, wherein at least one transport unit (15; 115; 215; 415) in one transport unit plane (20; 120; 220; 320; 420) of the transport device (10; 110; 210; 410) and at least one of the further transport units (16; 17; 118; 218) in another transport unit plane (21; 121; 221; 421) of the transport device (10; 110; 210; 410) are arranged so as to be movable relative to one another on the guide device, wherein the at least one transport unit (15; 115; 215; 415) and the at least one of the further transport units (16; 17; 118; 218) are movable in a crossing manner relative to one another in at least one direction of movement, wherein the at least one tool device (25; 125; 225; 325; 425) is arranged on the at least one transport unit (15; 115; 215; 415) in such a way that it can pivot and/or rotate and/or move in a straight line, such that the tool device is guided from at least one of the transport unit planes (20, 21, 22) and a collision between one of the transport units (15, 16, 17) and the tool device is precluded, characterized in that each guide device carrier (65, 66) has at least three guide sections (70, 71; 72; 171, 172; 271, 272) for guiding the transport units, whereby the transport units (15; 16; 17) can be moved independently of one another in their own transport unit planes (20; 21; 22). wherein one of the transport units (15; 115; 215; 415) has at least one movable tool device (25; 125; 225; 325; 425), wherein the at least one tool device (25; 125; 225; 325; 425) is multifunctionally designed for transporting and/or machining the workpiece (5, 6) or at least a workpiece part (7, 8) detached from a workpiece (5, 6), wherein one of the transport units (15; 115; 215; 415) is arranged in a first transport unit plane (20; 120; 220; 320; 420), at least two guide device carriers (65, 66) are provided, each with a longitudinal extension for guiding at least one of the transport units, and the guide device carriers (65, 66) are arranged parallel to the at least one transport unit plane (20; 120; 220; 320; 420), and at least one further transport unit plane (21; 22; 121; 221; 421) is provided, in which at least one of the further transport units (16, 17, 118; 218; 416) is arranged, wherein at least one transport unit (15; 115; 215; 415) in one transport unit plane (20; 120; 220; 320; 420) of the transport device (10; 110; 210; 410) and at least one of the further transport units (16; 17; 118; 218) in another transport unit plane (21; 121; 221; 421) of the transport device (10; 110; 210; 410) are arranged so as to be movable relative to one another on the guide device, wherein the at least one transport unit (15; 115; 215; 415) and the at least one of the further transport units (16; 17; 118; 218) are movable in a crossing manner relative to one another in at least one direction of movement, wherein the at least one tool device (25; 125; 225; 325; 425) is arranged on the at least one transport unit (15; 115; 215; 415) in such a way that it can pivot and/or rotate and/or move in a straight line, such that the tool device is guided from at least one of the transport unit planes (20, 21, 22) and a collision between one of the transport units (15, 16, 17) and the tool device is precluded, characterized in that each guide device carrier (65, 66) has at least three guide sections (70, 71; 72; 171, 172; 271, 272) for guiding the transport units, whereby the transport units (15; 16; 17) can be moved independently of one another in their own transport unit planes (20; 21; 22).