Go to settings, advanced, privacy, untick all boxes, don't sign in to a Google account. Or Facebook, for that matter. Heck, there's even a version of Gostery for Chrome iirc.
I'd rather support Firefox, to be honest. I still like a lot of what Google does, fwiw.
How about Comodo Dragon[1], a free and stable Chromium based browser, with 'auto updates' ;)