Nobody mentioned JShelter yet. It may not make browser fingerprinting impossible, but it's the easiest way to make it harder. It's easy to use, just turn it down for any sites that it breaks which you'd prefer to be not broken.
Also, use firefox and clear out all your cookies and site data regularly. Make exceptions for sites you actually want to identify yourself to. Noscript is another thing to consider, though I haven't used it recently myself. Use Tor Browser if there's something you want a little more privacy than usual for.