I am not familiar with BackInTime. There are many front-end programs for rsync (and other backup programs too). Please describe what kind of backup you want: complete system backup, incremental backup, synchronizing (also deleting from the backup) ...
I suppose once the command is defined it becomes a no brainer, but I noticed you avoided talking about BackInTime. Does that mean BackInTime will not do what I want? Or are you perhaps not familiar with it? Or prefer rsync?
I use rsync as it is sometimes. But I also use Clonezilla to make complete images of whole drives or partitions, and I use Unison to backup by synchronzing my photo and multimedia partition.
All of that said, I reckon to get this to work I will need MAJOR hand holding. So rest assured, after I've tried to assimilate man, I WILL post.
Again, many thanks.