Hi fishfacs,
There are a lot of services that can do offsite backups for you! We use iDrive a fair amount, but you can certainly assess your needs and the service available to you, which may mean another backup service, something like google drive, or even just a USB stick (for issues of computer failure, not adequate for the site catching fire) is another layer of separation between the original copy of the data and its backup.
Almost all of the automating of invoking the service (or just scp'ing to the local fireproof computer) is done in cron tabs, usually, regardless of the service to be used. Edit: If your installation is on windows, I'm not as familiar with scheduling tasks, but I'm sure there is some kind of task scheduler to be had.