I was stationed in Catterick Camp, near Richmond, Yorks in the early 70's, and lived in Leyburn for about 2 years. Wonderful roads and classic Yorkshire Dales scenery in that area. It's also very much farming country, so don't be surprised by a herd of cows coming towards you just around that next corner....or a farmer in his Range Rover (or Jag) driving down the middle of the road.
We absolutely loved that area when we lived there....almost every village has a pub and a place to stay. Great people, great food and great beer. Why shop anywhere else?
I once went to catterick on the way up to scotland, when I was in the RAF, but we didn't take the route through the Dales. I love the
Yorkshire Dales, when I was a kid we would often go to the grandparents in Bingley, and from there we would venture out into the Dales, generally going for long walks.
When I was 15 I went on a long cycling holiday (3 weeks) with my brother and a mate around the Dales and the North yorkshire moors, we pretty much covered the whole area, amazing scenary.
I know what you mean about the cattle, I'll never forget on several occasions on the bikes (cycles) hurtling down some amazingly steep hills, and just around the corner there was a cattle grid

we were on racing (not mountain) bikes too, you just had to ride it out, and hope.
Oh...edited to add: Don't forget to ride on the left.

I'm not being a smartass saying that...the most dangerous time is pulling out of a parking lot when there is no traffic on the road. You WILL pull out of the parking lot on the right side of the exit and ride up the right side of the road at least once.
I got into the habit of saying "left left left" every time I got into my car when I was in New Zealand last year. (Then I got out again and got into it on the steering wheel side)
I must admit I have no problem with a car, whether I'm driving in my own car (left hand drive) or in my Dads car (right hand drive) in England, but I've been to-ing and fro-ing for so long now it's second nature.
On the other hand i'm not sure how it will go on the motorbike, when I come over to the UK in October, as I've only ever riden my bike in holland and although I've hired a bike several times in the UK it was about 9 years ago now.
I must admit me and my wife quite often get in the wrong side of my Dads car, and then I realise there is something missing

I'm sure the neighbours across the road must have been in stitches :rof: