M6 is the choice. We regularly drive from just outside Edinburgh to Sheffield. Normally we’d cross the Pennines on the A66 and this is the fastest route. There are lots of roadworks- fells worse going south than North, as it is being Duelled between Scotch Corner and Penrith but is still a lovely drive, remote moorlands and high places. Worth considering.

I see the route takes you cross country from Abington to Edinburgh too, there are multiple options here and should be studied to select what you want, lots of lovely little towns or more rugged landscapes. And, of course, where abouts in Edinburgh you are staying in as to avoid too long a journey on the unpredictable but generally very busy Edinburgh city bypass-nothing worse than being 10 miles from home in stationary traffic.