Real pretty! Need to pull mine, and get a good coat of paint on 'em.
Just for grins. Those calipers are what I call 'sliders'...opposed to the pin type, what mine are. Both are fairly common.
On the sliders, all simple to see, the outer part of the caliper 'moves' very slightly, sliding against machined sections in the inner (fixed) half. Lol, or is it reversed.
Anyway, the two mating machined areas, on both parts are fairly close. In time, can rub down a little, and rust, or collect dirt, either that can make that sliding movement hang up. Nature of the beast!
Don't know if it can still be found, but Lubriplate made a brake lubricant, along the lines of engine assembly lube, but much thicker.
On those slider type calipers, all four machined surfaces needed to be cleaned, and then lubed, a simple thin wipe, to slicken the surfaces, and a little protection from rust.
Movement is only enough to relieve pad pressure, slight drag.