Are you running Orbot on your Android device? You should be! Orbot is access to the TOR network on your phone and some level of security you do not have, but of course the phone itself is not all that secure. Rooting your phone gives you more control of your device and also allows you to use the TOR network via Orbot. I am not going to give a tutorial on rooting your phone, but I will tell you it is not hard. Run your Google search through Startpage to gain a tiny piece of security (which you should be doing anyway).
Rooting your phone will void any warranty but you can finally remove all that bloatware installed that you never use and are stuck with just because the service provider wants you to have it.
Do the search, read the tutorials, do the task, and get Orbot.