Ask Slashdot: What's the Best Way to Browse the Web Anonymously?

An anonymous reader asks: In an age of evercookies, zombie cookies, and always expanding efforts to track browsers, devices, and people -- is there any way to browse totally anonymous to the sites you are visiting?
With so many technologies quietly monitoring your activity, "How can a user today browse with confidence that they can't be tracked or identified, avoiding even being identified anonymously as a returning user or device?" Leave your best answers in the comments. What's the best way to browse the web anonymously?