Driving behaviour 205/55 R16 vs.195/60 R15

My “new” V70 urgently needs new tyres (at the moment it runs on old 185er winter tyres). From a friend I could get cheap 16″ rims – of course I find aluminium wheels more beautiful, on the other hand I hate to spend money for the car. The tires I imagine cost about 15€ more in the 16″ version. The steering limiter does not seem to cost much. The question of all the questions, however, that I ask (drive on all cars so far i is – Does the driving behaviour with the tires change? Does it possibly run more after track grooves? Here certainly have some experience with this tire.