If you don't want to synchronize through Google and want a direct connection between your Android device and your PC, you may use
BirdieSync. You can either connect with USB or a Wi-Fi or cellular connection. Then you'll be able to easily synchronize your contacts and your events on your Android device, without needing to store them in your Google account. Your local address books and calendars in Thunderbird/Lightning/Sunbird can be synchronized. So your data will be only present on your Android device and in Thunderbird/Lightning/Sunbird.