Your future is in the cloud
Computing resources will become a utility. Let's look at a couple of issues:
1) Security. Sure, you should be concerned about security. But most people have become pretty complacent about leaving the security of their money to the banks. As another example, if you collect gold bullion, you would probably leave it with people who know how to guard it, rather than keeping it in a shoe box under your bed. I was around back when people didn't want to trust their data to "bits" that they couldn't see, and preferred to keep everything in hard copy in a filing cabinet.
2) Reliability. The question is, What happens when the link goes down? Well, what happens when the electricity goes off? Of course it happens on rare occasions (at least where I live), but it is so rare that you just shrug it off and go on with your life. Perhaps the solution is to use redundant access points. (It seems to work for the Internet.)
This is a movement that is in its infancy. It will mature, and data storage and crunch power will become metered utilities.