I do not recommend cutting your veins. You will most likely survive and your hand may no longer function as it did before. Hanging yourself doesn't necessarily have to be painful, provided it's done right, of course. Unfortunately, I have no experience in this method, so I can't give you precise advice, but there is a megathread on the website and, above all, other people who will be happy to answer your questions. I believe you can handle it, best regards.