Normal care as you would most anything.
Keep it clean, dry and safe.
Keep the air cylinder with enough air pressure, over the regulator pressure, normally about 120 bar. Clean the barrel. Clean the stock and the rest of the gun of any garbage. Don't use any acidic cleaners or other damaging cleaners (like Brakleen).
As far as oil...just like your car engine, trans., rear axle...anything that moves !
The trigger mechanism should have a drop of oil on everything that rotates, slides or otherwise rubs in another part. I use Lucas Gun oil (red stuff) on all of my guns. A small bottle isn't expensive. Have for 4+ years, with no ill effects.
Mike