Went to Ikea and bought a long (150 x 28 cm) piece of shelf board after lunch. After some heavy lifting and a sweaty afternoon of reorganizing and cleanup, I was able to squeeze some extra desktop space by pulling out my desk and adding an additional slightly elevated shelf behind it. Now the 2 external monitors are more appropriately placed further and higher, and the desktop feels much less cluttered.
I think I’m finally content with my work environment setup since EVE arrived, no more excuses to slack off now!