In reply to Tall Clare:
As someone in your position about a year ago, here goes:
As a rule, there is usually nothing much technical on Dales bridleways.
Local:
1) Leeds Liverpool Towpath to Gargrave - up Mark House Lane then BW over the back to pick up the Eshton-Malham Road. Follow this up to Airton, branch left then down BW towards Bell Busk. Either back up Mark House lane etc or you can lengthen it using BWs to pick up the canal a bit further down. Not too much climbing, bit bumpy in places, save for dryish conditions.
2) As described above, the BW from Rylstone over the back to Bolton Abbey is great. A tough climb to start - pushing is permitted for now! Then really nice singletrack with some loose rocky bits which may have your feet down - see how much you can do clean. Then easy track all the way down to the road. Lots of choices here - either carry on to Bolton Abbey using BWs, head straight over and down Moor Lane then back to Embsay, or just say 'bugger this' and go straight back on tarmac.
3) Sharp Haw - up Brackenley Lane, down Grassington Road, off up Bog Lane, carry on up the track at the top, then either branch off right onto BW which skirts Sharp Haw itself (muddy), or stay on the nice track (not a ROW) and head round through the woods and down to Flasby. You could tack this onto either of 1) or 2) by either heading down to Gargrave or up to Hetton and across to Rylstone.
4) If you had a bit longer, and drier conditions, head over to Hetton, then up Moor Lane, then follow BWs which eventually join Mastiles Lane just above Kilnsey. Lunch in the Trout Farm, then you can make a nice loop that ends in Grassington by following the steep BW up from Conistone, heading into Mossdale, then picking up good tracks which loop around to join Moor Lane down into Grassington. Again the last bit isn't ROW, but is fun and easy.
Car stuff.
I always end up recommending this, but it's great - short, v pretty, tea shop in Feizor...I start from Austwick and miss out the tunnels altogether.
http://www.mtbthedales.org.uk/mtb-tunnels_and_bridges.pdf