Every cat is different, but I've always taken my pets with us when possible. I think the comfort of haivng us around is greater than the stress of a new place. And the more they travel, the less of a big deal it is.
My daughter's cat has always traveled with her. First to and from school (4 hours each way) at least monthly, then to her first post-college job (20 hours by car), and finally to her current job (another 5 hour drive). She has also flown to and from our home several times with great succes..
We take our cats with us when possible. They've been coming to the lake with us weekly, on trips to see family. They've been to hotels and done well.
Skin kids - Jason, Kevin, Allison
Canine kids - Bennett & Bailey (always in our hearts), Riley, Banker, Rogue and Boz
Feline kids - Zoey, Talley and Abra