I need help with shaving?

I’m 18 years old, been shaving for a while now, but recently I’ve been having trouble with it. I don’t have a lot of beard (genetics, I’m afraid) I have no trouble with my sideburns/cheeks but my moustache is giving me hell. I get severe razor burn and razor bumps and I end up cutting myself each time I shave, and because of that, I don’t shave as hard, so I don’t get a clean shave. So I end up looking like a moron with this stupid bit of half-shaven stubble on my upper lip (that is, after the blood-red swelling from the razor burn has gone down). I feel like a bloody two year old who doesn’t know how to shave, any advice? I've tried everything, hot water then cold, sharp blade, oil, after shave, all that stuff...