I managed to make some progress the past few days: 70% is done. There are three cabinets left that need to be fitted in part or entirely. Saved those for last, since these are already built for test fitting and need to be taken apart again.
In the mean time, I made good use of some of the strips that will be left after the drawers are fitted and put those on top of the top cabinets. Since those strips will be easily accessible after all is set and done, I soldered the wires directly to the strip connection. The result is 10W of LED strip, taking care of the ambient lighting.