Specifically, Arq Backup, for example, lets you simply add/remove providers at will. It's happened multiple times, Amazon Drive changed (or went away? I forget...), Google Drive changed their Enterprise policies, etc... No big deal, I just deleted the provider and added another one. I still had plenty of working provider backups, so I wasn't worried while it took a day or two to fill the next provider. (Good argument for having 2+, I'd argue 3+ providers...)
Using notifications from your sync apps/systems/scripts/whatever is essential, of course, in case something fails... but all the good software has that built-in (including email and other notifications, not just OS, which helps for remote systems).
At this point, it's nearly idiot proof. (Good for idiots like me ;)