Re-Use a Time Machine backup disk.
This is more of suggestion than a question - how to save yourself a bunch of time.
Having just upgraded my OS and got everything working (long story) - I wanted to establish a new, clean, Time Machine Backup - for this operating system (Sierra). I made the fatal mistake of trying to use an old Time Machine disk by deleting the backup files. It has taken about half a day to select 9 million files for Trashing, and is now going to take many more hours actually Emptying the Trash.
I am pretty sure that I could have gone into Disk Utility, re-initialised the disk in a couple of minutes, and been up and running the new TimeMachine Backup.
Complete waste of a day !!
Be warned !! (but perhaps you all knew it)
MacBook Pro, macOS Sierra (10.12.6), 8Gb Memory