A processing system for processing objects using a programmable motion device is disclosed. The processing system includes a plurality of supply bins providing supply of a plurality of objects, with the plurality of supply bins being provided with a bin conveyance system, a programmable motion device in communication with the bin conveyance system, where the programmable motion device includes an end effector for grasping and moving a selected object out of a selected supply bin, and a movable carriage for receiving the selected object from the end effector of the programmable motion device, and for carrying the selected object to one of a plurality of destination containers.