First... don't ever compare yourself to porn. That's not reality. Also, I see blood when fucking in a fair amount of porn. It's a tiny amount, just enough to make a condom slightly rust colored or a single dot of red in a bunch of lube and cum. Which begs the question... How much bleeding? Many times you can get a tiny few speckles of blood from even moderate friction such as wiping to hard or passing a larger/firm bowel movement. Are we talking a few dots on the tissue after anal sex? Or dripping drops into the toilet? A few speckles of blood on the toilet paper is very common and nothing to worry about usually.
If you are bleeding more than a few tiny speckles, it usually means you're trying to do too much too fast. When you are practicing stretching your hole gently with a dildo or butt plug, do you notice a significant amount of bleeding? If you are NOT practicing with a dildo or butt plugs, they you are probably just not loose enough and some tearing is more likely... so you can lessen this by doing your homework. The normal sphincter can, if gently trained, expand to fit 10x the size of your average poo and still contract back without difficulty.
It's possible that you have some issues that might make the tissue around your sphincter more sensitive and prone to tearing than normal... if so you would probably experience bleeding from a large/firm bowel movement, or wiping too vigorously. Is that ever the case? You may also have some small hemorrhoids that are not healing and might need medical attention -- they can usually easily fix those and you'll be healed up in a few days. I also know of a few people who had to go to a doctor to have a small procedure to cauterize a blood vessel that was too close to the surface and kept bleeding. Five minute procedure, a week or so to heal and he never had another problem.
This is all by way of saying: if you're not practicing stretching, you will be more likely to have micro-tears that give you a few dots of blood. More bleeding than that is a sign you should talk to your doctor about seeing if there's something that can be fixed. If you're afraid to talk to your doctor, then you need to find a more sex-positive doctor... ask your local LGBT clinic or support agency for a referral to a doctor who would be supportive and non-judgmental.
Good luck!