Unless the car is valuable and substantially increases your estate, you will probably not want it in your trust. The reason is if you are at fault in an auto accident and the injured party sees that your car is owned by a trust, he or she may think “deep pockets” and be more likely to sue you.
All states allow a small amount of assets to transfer outside of probate; the value of your car may be within this limit. Some states let you name a beneficiary; in some, cars do not even go through probate. Your attorney will know the laws and procedures in your state and will be able to advise you.