I did it too last year, but I do not think the "Cat and Fiddle" is one of the climbs, if I recall there is seven big climbs, but I never noticed about three of them. Monsal Head, is one of the climbs and a bit of a struggle and one can not give up on that one due to all the people at the top looking down at you which you are not really aware of till you get to the top, then there is the one after the reservoir towards the end.
I did plan on doing it this year and got this weekend off on leave, but came to conclusion its got too expensive like a lot of rides now. Fortunatly though I would have struggled as I seemed to have picked up an infection and my heart rate is way high as I found out last weekend and this morning on club ride and gasping for breath.
Winnats would have killed me.