Moveable device, comprising a planar element, at least one first wheel mounted to rotate about a first rotary axis, a handle support which has one end distal from the planar element, which supports a handle, and one end proximal to the planar element, a folding joint located adjacent to the first wheel, which connects the proximal end of the handle support to the planar element to be pivotable about a first pivot axis such that in an operating state the handle support is aligned at an angle to the planar element, preferably perpendicular or almost perpendicular thereto, and thus the distal end of the handle support has a maximum distance from the planar element and in an idle state the distal end of the handle support has a minimum distance from the planar element, at least one second wheel which is mounted to rotate about a second rotary axis, which second wheel is arranged at an end of the planar element distanced from the arrangement comprising the first wheel and the folding joint, wherein the first wheel is additionally mounted pivotably about an angular third pivot axis, extending preferably approximately perpendicular to the first rotary axis such that a pivotal movement about this third pivot axis leads to a change of the direction of movement, the handle support is a steering rod, and a steering mechanism is provided which converts certain movements of the handle support into pivotal movements of the first wheel about the third pivot axis, a third wheel is provided at an axial distance from the first wheel, which third wheel is mounted in the same way as the first wheel, wherein the axial distance is at least slightly greater than the width of the section located between the first and the third wheels (12, 14) of the piece of luggage to be fastened on the handle support, the third wheel is additionally mounted pivotably about an angular fourth pivot axis, extending preferably approximately perpendicular to the first rotary axis such that a pivot movement about this fourth pivot axis leads to a change in the direction of movement and the steering mechanism is also provided to convert certain movements of the handle support also into pivotal movements of the third wheel about the fourth pivot axis, and with locking means (54, 54a, 70, 72) for locking the steering mechanism, which are designed such that they only lock the steering mechanism in a neutral position in the idle state, preferably for movement straight ahead, characterised in that the locking means comprise a rotary lever which is arranged on the proximal end of the handle support secured in a non-rotational manner relative to the latter and a recess is formed in its free end and a pin, which is arranged radially on a joint which is arranged to be pivotable about a fifth pivot axis parallel to the first pivot axis and secured in a non-rotational manner relative to the planar element, wherein the arrangement and alignment of the rotary lever and the recess in its free end and the radial pin on the joint is set such that in the idle state the pin is received by the recess when the handle support is rotated into such a longitudinal position in which the first wheel and the third wheel are in a straight-ahead position.