Do I distrust Google to the extent that I'd limit myself to a BB phone, and never ever use Google search, maps, or gmail on it, OR a desktop computer? Because let's face it - as long as you're using any of those it doesn't matter what non-android device you buy. The answer to that is no, I don't distrust Google enough to to go to those extremes. Why did I specifically mention BB? Because Apple and MS have both been proven equally hackable, and both are equally complicit in the whole government eavesdropping scandal. I wouldn't be surprised to find out BB has been playing nice with the CDN gov't's own shenanigans. Lastly BIS/BES level encryption isn't automatically bundled with BB10 anymore, you have to pay extra for it AFAIK.
Android and iOS devices have been receiving top level security certifications for both gov't and business use for a year+, so BB's older days of having an 'edge' in security are well past us now. No smartphone is 100% immune to exploits. Even BB10 temporarily had an exploit that allowed users to be hacked not too long ago, which has been patched since. Mac computers are no longer immune to viruses, etc etc.
Moral of the story is buy a smartphone which has the most innovations, features, capabilities and a healthy ecosystem and support, and once you've made that choice be personally responsible for how much personal information you use with it and the steps you take to protect it. I've used android for personal banking for years now. But I don't leave my phone unattended, I don't allow apps to be installed from anywhere except Google Play Store, I only install apps from bonafide developers, and in all that time I've never once had any form of antimalware or antivirus installed.