What's the alternative? iOS seems just as bad.

I use an Android phone, but I've never entered any Google credentials into it. Can't use the Play Store, but I don't really care about apps that much. At least there's F-droid.

Talking about security, you can't forget about BlackBerry 10. I love it,it's nice to use and can't see a reason to come back to android (since bb provides an android app compatibility layer too)

There is always Apple. At least they're not an advertising company.

You can actually do this on a cyanogen mod phone using DavDroid and e.g. an owncloud server.