I use all seasons tyres Nexen N'PRIZ 4s / N'Blue 4s in my 2009 Jazz. My Ibiza use Michelin Crossclimate.
As for cars, the only car that's completable to the New Jazz is the Nissan Note. But they have just stopped making it, and inside looks quite cheap but it's good value. Personally, stick to what you are used to.
Try Carwow. You may get a good price.
Good luck!