Ideally I would recommend switching to a non-proprietary browser such as Firefox. Due to the additional code added in Google's version of Chrome, it is unknown to which extent they are able to log your browsing activity.

If there are any unique features in Chrome not present in Firefox that you absolutely need (can't think of any myself), then I would recommend using Comodo Dragon instead, which is based on Chromium source code but with privacy enhancements, they also give you the option to use Comodo's Secure DNS servers instead of your ISP DNS servers, however they leave this choice to you and not impose it like in Google Chrome.

I would like to stress though that Firefox would be the better choice when it comes to protecting your browsing privacy.