A balanced-arm desk lamp is three lengths of steel, a shade the size of a cupped hand and a set of springs that holds the lot wherever you leave it. Push the head down to the page and it stays. Swing it towards the wall and it stays there too. No clamps to tighten, no knobs to fight.
The design came from an engineer who understood how an arm moves, and it shows. Everything comes apart with a screwdriver: springs replaced, cable renewed, switch swapped. A good one ages like a bicycle. The enamel wears thin at the joints, the shade dulls to a soft sheen, the movement loosens just enough to feel like yours. Anglepoise, the British original, is still the one to own.
choosing one that will outlast you
Pick it up first. The base should be cast iron, heavy enough that the arm at full stretch never tips it. Work each joint: smooth and silent, with no sag. Choose a metal shade and a fabric-covered cable; both outlive plastic. A warm bulb, around 2700 kelvin, is kinder to tired eyes than anything whiter.

Every so often, dust the springs and put one drop of light oil on each pivot. When a spring tires, replace the spring, not the lamp.
Before you buy, lift the base with one hand: if it is heavier than you expected, you have the right lamp.