To continue this tyre issue. I would also check what Bridgestone, Yokohama and Hankook have to offer, altough my latest experience with Hankook winter tyres was terrible. Very unstable in lane changes and when braking.
For the Jazz I prefere studless tyres, as I'm going to drive mostly on highways or in town. But we still have to think how much my wife is going to use it, since she would prefer studded. She has studded GoodYear tyres in her 1st Gen CR-V. If we lived in north or in more remote areas, I would definetely go to studded tyres. Propably again Michelin, Goodyear, BF Goodrich, Bridgestone, Yokohama and maybe Hankook.