A container-handling vehicle for picking up storage containers from a three-dimensional grid of an underlying storage system, comprising a vehicle body and at least one lifting device for lifting a storage container from the grid, the lifting device comprises a lifting band drive assembly (47,47',31), a horizontal lifting frame and a plurality of lifting bands (16a,16b); the lifting band drive assembly (47,47',31) is connected to the vehicle body and comprises at least one rotatable lifting shaft (22.22'); the lifting frame (17,17') comprises four corner sections, gripper elements for releasable connection to a storage container, and a lifting band connector (32,32') arranged at each of the corner sections; the lifting bands (16a,16b) are connected to the lifting band drive assembly (47,47',3 1) and the lifting band connectors (32,32'), such that the lifting frame (17,17') may move in a vertical direction relative to the lifting band drive assembly by rotation of the lifting shaft (22,22'); wherein at least three of the lifting band connectors (32,32',32′′′) are adjustable, such that the vertical distance between the respective corner sections and the lifting band drive assembly may be adjusted; and wherein each adjustable lifting band connector (32,32',32") comprises a bracket (39,39',39") and a band connector hub (40,63,76,41), the bracket is connected to the lifting frame (17,17',17") and the band connector hub is connected to the bracket and one of the lifting bands, such that movement of the band connector hub relative to the bracket will adjust the vertical distance between the respective corner section and the lifting band drive assembly (47,47',31); and the band connector hub (40,76) comprises a lifting band clamp and is movable between a first position, wherein the lifting band clamp is at a lowest level relative the bracket, and a second position, wherein the lifting band clamp is at an upper level relative the bracket. the lifting device comprises a lifting band drive assembly (47,47',31), a horizontal lifting frame and a plurality of lifting bands (16a,16b); the lifting band drive assembly (47,47',31) is connected to the vehicle body and comprises at least one rotatable lifting shaft (22.22'); the lifting frame (17,17') comprises four corner sections, gripper elements for releasable connection to a storage container, and a lifting band connector (32,32') arranged at each of the corner sections; the lifting bands (16a,16b) are connected to the lifting band drive assembly (47,47',3 1) and the lifting band connectors (32,32'), such that the lifting frame (17,17') may move in a vertical direction relative to the lifting band drive assembly by rotation of the lifting shaft (22,22'); wherein at least three of the lifting band connectors (32,32',32′′′) are adjustable, such that the vertical distance between the respective corner sections and the lifting band drive assembly may be adjusted; and wherein each adjustable lifting band connector (32,32',32") comprises a bracket (39,39',39") and a band connector hub (40,63,76,41), the bracket is connected to the lifting frame (17,17',17") and the band connector hub is connected to the bracket and one of the lifting bands, such that movement of the band connector hub relative to the bracket will adjust the vertical distance between the respective corner section and the lifting band drive assembly (47,47',31); and the band connector hub (40,76) comprises a lifting band clamp and is movable between a first position, wherein the lifting band clamp is at a lowest level relative the bracket, and a second position, wherein the lifting band clamp is at an upper level relative the bracket.