I needed to write this out to get it clear in my own mind, so I might as well share:-
This is how it is marked up in the new Discover South Yorkshire & the Peak maps.
Route 6, which currently diverges from 67 at Richmond and passes through Sheffield City Centre, ending at Livesey St, Hillsborough, is diverted through Rotherham and the Five Weirs Walk and will use the Peak Park Anniversary Route to Ringinglow, eventually going through the Hope Valley and linking with the Connect2 scheme at Marple before joining the Manchester Cycleway.
Route 67, coming in to Sheffield from Chesterfield, follows the "Round the airport" route to Meadowhall, then continues up the Blackburn Valley, splitting to provide two braids, one climbing through Parson Cross to Grenoside then descending into Chapeltown: the other braid heading for Thorpe Hesley and Wentworth, the two braids meeting at Hoyland. This will change when the Chapeltown Link is complete, providing a direct route through Chapeltown to Tankersley.
The new route, 627, starts at Richmond in Sheffield, passing through the City Centre and along the Upper Don Valley. There is currently a gap between Hillsborough Leisure Centre and Claywheels Lane, then it passes through Beeley Woods and into Greno Woods to link with the Trans Pennine Trail. It joins 62 at Oxspring and passes through Penistone, diverging again at Thirlstone to head for Kirkburton and Kirklees. So this section will need to be dual signed.
That's it! Hope this helps -it did me anyway!