Eat some bread.
No, really, in case you want a serious answer, all you need to do is play the games. I like scary games myself, but I find that at least with the Resident Evil games, you have a gun. If you have a gun, you don't have that much to be afraid of. Why? Because you have a gun. And when you shoot things, they tend to die. Dead things can't hurt you.
And besides, it's zombies. They just want your brain. Lastly, I should probably mention that monsters, ghost, aliens, psychopaths, mutated stuff and all that will NOT jump out through your screen. They can't hurt you.