So this is what I had in the "old" lab:

All the instruments have their power cords stuffed behind them, in between their rear and the wall. At least 3 series connected power strips were required to supply all of them, quite a mess of cables, but nearly invisible.
For the "new" lab, I've got a new plan:
A dedicated panel to distribute the power (this is work in progress)

I've got some contactors that I'll fit into the panel, to be able to power on / off the whole lab area with a simple remote switch panel. The contactors will fit onto the lower DIN rail that is left empty at the moment.
Space saving power strips:

I guess these are common with server racks, found them at a second hand electronics dealer for a decent price. I plan to run some cables from the distribution box directly to these strips, and attach the strips at the back of the new instrument shelve (also work in progress)

I've made this shelve accessible from front and rear side, so it's an easy job to re-arrange the instruments if I want to. Bonus points: all the backside connectors are easily accessible too ...