Do I claim on my home or auto insurance If my car was broken into?

It depends. Were the items a part of your vehicle, like the stereo or hubcaps? If so, they’ll be covered under your auto policy. But if the items were belongings like a laptop or luggage, they’ll be covered under your home policy. If the break-in itself damaged the car (if the thief smashed the window to gain access, for example), then that’s covered by your auto policy.