I like that rsync suggestion. That is much better for one who performs diligent regular backups. The cp command is a basic easy command for a user like myself who is not that consistent.
Sadly neither of these suggestions help the OP who prefers a GUI solution. I’m amazed at all the solutions suggested. I’m learning a lot from Joey J’s process.
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You and me both! I hoped by now someone would have made a Linux Version of Carbon Copy Clone. One of my favourite apps I will miss when I leave Apple behind for good (as is TimeMachine, though I hate to admit it :D)
Hello @joeyjonnson ,
As it didn’t get mentioned directly, there is always Vorta Vorta | Flathub
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Wow! Am I right in thinking that’s basically TimeMachine?! If so, woohoo!! Thanks
You-re welcome! 
! Also the links provided for the Magazine articles will have one I wrote about Borg Backup, which is the backup technology being used. I haven’t used Mac’s since they were 48K memory devices, aside from my daughters devices over the years, so I can’t say if it is “TimeShift” or not. It does seem to have the same or similar features.
Thanks. Yes I don’t actually care about TimeMachines RESTORE functions, I just wanted something that can do continuous backups. This looks ideal.
And Pika Backup and Vorta are both GUI front-ends for BorgBackup, so depending on the graphical environment you use, the same backup repository can be used with either.
Pika fits better with a GNOME/GTK-based environment like Fedora Workstation, Vorta fits better with a KDE/Qt-based environment like Fedora KDE Spin, but the backups themselves are the same format.