There is no such thing as a cable-free desk. There are desks where the cables have been dealt with, and desks where they are pretending. The pretenders are easy to spot: a clean surface, and below it a hanging garden of adaptors bulldog-clipped to the frame. The honest version takes one afternoon and about the price of a dinner, and it starts by admitting what is actually there. Unplug everything. Lay it on the floor. Most desks are running twice the cables they need.
The method has three moves. First, one power strip mounted under the desktop — screwed, not taped, because tape is a promise measured in weeks. Everything plugs in there, so a single cable leaves the desk. Second, a routed channel or a screwed-on cable tray under the back edge carries slack laterally; coiled excess is bound with reusable velcro, never zip ties you will only have to cut. Third, the one descending cable runs down a leg, inside a fabric sleeve, to the wall socket behind the desk.
The result survives because it tolerates change. A new lamp or a borrowed monitor plugs into the strip in seconds, and the system absorbs it. The habit worth keeping is a five-minute quarterly cull: unplug the chargers that no longer charge anything you own. A desk is for the work on top of it, and the reward for an honest afternoon underneath is that you get to forget, more or less permanently, that the underside exists.