If you're going to keep your new car running like new, you have to take care of it. Always check your user's manual for a maintenance schedule. However, you can use the following for the basics. You should check your air filter every six months. If you live in a climate with high wind or dust, you should check this more often.
Many people neglect their brakes until they hear metal on metal.
At that point it's too late. Have your brakes checked every six months. Like brakes, many people also neglect brake fluid levels. You should probably change brake fluid once a year. It's smart to change the oil every 3,000 -3,500 miles, but check the user's manual for a recommendation.