For text comparison I always use the shareware
Compare It! by
GrigsoftDevelopment has stalled the last couple of years, but for me it's a highly valued tool, and I would buy it again if I had to.
There is an option 'Find moved sections' in the 'Options/Options/Comparison/Advanced' options page that needs to be enabled for finding moved stuff like you described. And setting 'Use adaptive comparison' on the same page could also help.
I usually advise to enable 'Options/Lines view' from the menu (it's disabled by default), and the same for 'Options/Options/Editor' checkbox "Scroll left pane horizontally with mouse wheel".
Disclaimer:
I wrote a translation for my native language for it (and also for
Synchronize It!), but have no other bonds with the product(s) or company.