But it doesn’t end there. EFF also says -
“Note that disabling Web History in your Google account will not prevent Google from gathering and storing this information and using it for internal purposes. It also does not change the fact that any information gathered and stored by Google could be sought by law enforcement.
With Web History enabled, Google will keep these records indefinitely; with it disabled, they will be partially anonymized after 18 months, and certain kinds of uses, including sending you customized search results, will be prevented.”
So, it’s like there’s nothing much you can do to save yourself from Google. Though there are some tips by EFF which you can follow to restrict Google (or any website for that matter) from storing your search data.