I would probably steer away from common, obvious ones. I mean, Oreo for a black and white kitten, for instance. I've known two by that name just in my own family. My own cat from age 4 to 24 (yep, born before I started kindergarten and put down around the time I got my Master's) was named Miss Purr and I'm not sure I would use that one again, either. Snoopy and Bowser would be no-gos if I ever had another hound (though I am more of a cat person, really). We had a beagle when I was in my teens name Bowser and, yeah.
I rather like the approach of my favourite singer and her husband, who tend to go for mythological or literary names, e.g. their massive wolfhound is named Fenris after the wolf from Norse mythology (the husband is a Swede).