On my full size autos (345, 1911, Sig 220); I apply a **little** gun grease with a Q Tip. With the Q TIP I can spread it around where I want it and control the thickness.
On 380 autos (PPK/S, Sig 230); I apply a little gun oil again, with a Q Tip. I've found that the 230, in particular, will stop working if not almost dry.
In all cases I used a product designed for GUNS. Not fishing gear, cars, or boats, or kitchen appliances. The brand doesn't matter too much because of the light application vs. something else like wheel bearings. Plus I don't expect to run for more than 500 or so rounds before I clean it again anyway.
For spray I used G96 or RemOil.