I used to live in Naperville, and I still live quite nearby.
Snowplows usually go out as soon as the snow starts falling. Expect main roads and highways to be clear, but side streets may or may not be. It's actually better to travel on main roads after a big snow than side streets.
Check for parking signs if parking on the street, during snow they often have rules about what days and times you can park so they can plow.
4-wheel drive is not necessary. I've never had it and I've been fine. Just avoid rear-wheel drive cars--if they still have such a thing!
Keep a snow shovel in your car along with an ice scraper/brush. Also keep a warm blanket, an emergency road kit and extra gloves/mittens, hat and scarf in your trunk. I also keep an umbrella in my car! My daughter has a habit of forgetting her hat, mittens and scarf so it's good to have extra in your car.
Teach your kids to put their hats and mittens in the sleeve of their jackets when they hang them up at school. It cuts down on them being lost. My daughter looses mittens like there's no tomorrow! I usually start the winter with 10 pairs and by the end we're lucky if she still has 2 matching!
Buy jackets, snow pants, boots and a shovel early in the winter or you won't be able to find one by mid-winter. I suggest WalMart for snow pants, they are half the price and very warm. I also suggest a sled! Be sure to buy one early!
You will love Naperville, there is so much to do and the downtown area is just adorable! Be sure to visit Ikea for tons of cute decorating and household items. Make a day of it and eat lunch there!
Best of luck! You all will love your first snowfall of the year!