Winter tires for CX-3 AWD

We want to order winter tires for our new CX-3 AWD (and think the OEM Yokohamas kinda noisy). What sizes should we be looking at, and can we use our current rims for any of these sizes? (And we 're big Nokian fans, but they're a bit on the pricey side, so we'll keep open minds about other brands).

Thanks!

A little late on the reply but we went with 205/65-16 Falken Eurowinters on 16" aftermarket wheels. That size tire on a 16" wheel has almost the same rotational diameter as the stock 18" setup which is kind to the drivetrain and doesn't mess with the speedometer accuracy. Just had to reset the TPMS after mounting them and I was all set. Our CX-3 is a GT with the 18"s and I didn't even consider looking for a winter option in the stock size (if they even have one yet) as the price would be insane. We got our wheels and tires from DiscountTireDirect, and so far they've been working out great.