thereby to avoid any displacement of said cups 6 relative to the fork 1 the use of cups 6 threaded on the spindles 4 and supporting the empty bobbins 8 during winding in combination with the transporting fork 1 increases the precision of the various manipulative stages and facilitates particularly the centering operations moreover during winding it is possible to wind up the yarn over all the height of the bobbins 8 the fork 1 not contacting directly the full bobbins 7 and accordingly not requiring any free gripping zone on the bobbins 8 according to a first modification of the invention shown in fig2 and 3 of the accompanying designs the width l of the transporting fork 1 corresponds to a fraction of the length of the spindle carrying carriage 5 said fork 1 being also movable in a direction 13 parallel to said spindle carrying carriage 5 the automatic removal can be effected for example for groups of eight bobbins 8 the process of automatic removal should thus be repeated as often as there are groups of eight spindles 4 on the spindle carrying carriage 5 the passage from one group to the other will therefore be effected by displacement of.