I have found the red Automatic Transmission Fluid is a good cheap and slippery oil. Powder solvents and CLP just don't do it for my guns. I have also found that BHPs work, 'the wetter the better'. So oil the slide and rails, and on the various cross pins. Expect some to splash off the first few shots too.
What I've also found from practical experience, once the gun has burnt on a layer of soot, leave it alone. Goose the barrel for large grains of unburnt powder or gross fouling, but otherwise, the gun is probably gonna survive. The old military rule of a light coat of oil is wrong. Browning handguns, like Browning machine guns, absolutely need oil to function. The well-trained and observant soldier will know when and how to keep those firearms ready for action. Once you realize dry is the enemy of motion with a BHP, you'll be on your way.
And, to dredge up a paraphrase from another thread, no machine ever suffered from running the wrong oil, but no machine survives without any oil.