The part of bleeding doesn't hurt, it is what made you bleed in the 1st place that is what gives you the pain. But after the cut, that pain is somewhat gone... Nerve endings are destroyed at the cut site and have to repair themselves.
Bleeding out would be the easiest way of death, you would just go to sleep because your brain would not be getting the O2 (somewhat of a Brain Stroke with out the block of a Artery) needed to stay active.
Ever give a pint of blood and feel dizzy or maybe even faint? Well same thing, you faint, but just wont wake up when bleeding out.
Lack of blood would be the easiest way to die.
But I think you all are forgetting one major thing about the "pain"... Everyone talks about the "Hurt" that death of one way or the other could give. Isn't the feeling of pain nothing but remembering that pain? Well, who knows if you would ever remember the pain you "had" at the time of death.
Dieing happens, it happens to everyone and is part of our life cycle, I do believe we all (all living things) have a natural defense programmed into us to deal with that time of death when the time comes. OUR biggest problem of death, is the unknown, what happens, is it all over, do we go somewhere else, are we born again, do we see our Maker and so on.
Live your life the best you can, follow the rules of life that are giving (by who ever you believe has given them) and enjoy your time on this Earth the best you can. You WILL die, we all do and when that time comes only then will YOU know how it feels and what happens after. Life is just to short to worry about death it will come sooner or later and only then will YOU know what happens after.
I have more on this subject, but I think I have given my part for now.
EDIT... Let me add, you will have to take my word on this or maybe the older people will post. The older you get the easier it is to except the Death of yourself. I can remember being a teenager/in my 20s fearing Death (how many of you can think before 10 years old of fearing death? Didn't happen for me, maybe again part of the life cycle), but the older I get the the easier it is to except that one day it will happen. Don't get me wrong, I do not want to Die, but for some reason the older I get my curiosity of "what is next" takes over for the fear of dieing... Maybe part of the life process of death itself? Who knows.