I've always used oils, not grease in locks and actions. I guess I always thought greases thickened in cold weather and slowed things down, maybe just superstition. I had grease in an old pistol once that turned to a sticky, crusty paste and had to be completely disassembled to clean it out.
My latest gun oil is a free sample from Lucas Racing Oil, and it works real nice, but is hard to find. 3in1 is my old standby & I also like Dri-Slide in my modern guns.
I've got some engine assembly lube I might try sometime now and Fogging Oil is long lasting and coats very well too.