Agree with other riders that this is an excellent route - full marks to the planners and markers.  Good quiet paths and roads, fabulous scenery, lots of historical interest, nicely spaced stops either overnight or for pitstops.
Out from Morecambe and Lancaster along old railway routes and the River Lune-side cyclepaths, then threading quiet lanes between the Dales and the Bowland Fells along the Craven fault, before dipping into the lovely Dales Towns of Clapham and Settle.  Fairly stiff climbs out of Settle and Appletreewick (13%), but worth it for the wild moorland, long views and very few cars on the tops, as well as the long drop offs on the downhills.
From Pateley Bridge there's a bit more hilly stuff as you come round Brimham Rocks, but then a total shift of mood as you coast through the deer park at Studley Royal, and down into Ripon.  East of Ripon it's flat Vale of York villages and lanes, with a bit of paralleling the East Coast mainline.  Boroughbridge a good mid point.  Ride into York is a little bit frustrating (narrow, poorly tarmac'd cycle paths) but then you circuit the Minster, and out through Stamford and towards Pocklington it opens up again.  East of Pocklington the Millington Pastures are a cyclists' delight, quiet chalk valleys winding slowly upwards, a snappy hairpin, and then a long, glorious descent to Driffield which we relished on a later summer afternoon with wind and sun behind us.  Last leg to Bridlington easy and well routed.
We did in just over two days, first day to just under 70 to Pateley (stayed at the Crown - good bike storage and beer, but breakfast only starts at 09.00 on weekends), and second day 89 to Driffield (Hotel 42 - nice staff and rooms, but food a bit blah), with a final early morning of the last 20 to Bridlington and then we cut away south west to Hull for trains.  Turning off the route at Bridlington was a good reminder how well planned the route is (there are few options other than A roads to head south immediately from Bridlington, it gets better after Hornsea, but the railway line from Hornsea to Hull is quite rutted), and also what a difference a following wind makes - this is definitely a West to East run when the wind is westerly.  Famous village shop in Clapham, Cafe Plenty in Boroughbridge and Swirls Gelato in Pocklington make good pitstops.