Is it possible to change/move/hide labels on multiple shapes at a time.

Currently I am developing Network Rack Diagrams for the complete rewiring and replacement of equipment across the entire organization. As I copy and/or move equipment from rack to rack tab to tab the labels either need to move to the opposite side of the equipment "shape"... or for racks "in-the-middle"... not show a label at all. As I'm working with many multiples of shapes it is beyond painfully tedious to change the label placement one shape at a time as I copy and revise each rack. PLEASE HELP!

I've even attempted conditional formatting - but no option exists to even mass hide labels.