Get rid of woodpeckers - how?

Find out why they're there before you do anything. Repeated drumming in one spot in spring is usually territorial or attracting a mate, and they'll pick whatever's loudest - gutters, metal flashing. Lots of small neat holes in a row often means insects in the wood, and that's the real problem to deal with. Then make the spot unattractive: cover it with netting or hang shiny reflective tape near it, and fill old holes. Do check what's legal where you are, in the US they're protected so harming them or the nests isn't an option.