The Chrome browser is another of Google's tools for harvesting data about users. By using it, you are playing Google's game and supplying Google with data about yourself and your activities that you might not (should not) want shared or sold.
Chromium is the free, open-source version of Chrome. It is touted as being more private and more secure than Chrome, but there's still bits of Google in it. It's probably a step in the right direction, but not far enough. 'Ungoogled chromium' is a development of Chromium that aims to remove as much as possible of Google's dirty tricks from the browser. Wikipedia has a page on it.
Browsers are just too complicated, with all sorts of strange functions operating. Even Firefox is suspect. For the paranoid, there are many of its settings that can and should be changed from default values, but it's a little tedious. Remember, if you're 'connected', someone is trying to harvest data from your device, and, unless you take steps, little is done to frustrate them by default.
Also, use a script blocker. You can turn off many of Google's scripts with impunity.