You can carry in a car/truck glove box and have duty to inform if you are stopped.
Below is some other transportation mumbo jumbo
SECTION 16-23-20. Unlawful carrying of handgun; exceptions
It is unlawful for anyone to carry about the person any handgun, whether concealed or not, except as follows, unless otherwise specifically prohibited by law:
(9) a person in a vehicle if the handgun is:
(a) secured in a closed glove compartment, closed console, closed trunk, or in a closed container secured by an integral fastener and transported in the luggage compartment of the vehicle; however, this item is not violated if the glove compartment, console, or trunk is opened in the presence of a law enforcement officer for the sole purpose of retrieving a driver's license, registration, or proof of insurance. If the person has been issued a concealed weapons permit pursuant to Article 4, Chapter 31, Title 23, then the person also may secure his weapon under a seat in a vehicle, or in any open or closed storage compartment within the vehicle's passenger compartment; or
(b) concealed on or about his person, and he has a valid concealed weapons permit pursuant to the provisions of Article 4, Chapter 31, Title 23;
(10) a person carrying a handgun unloaded and in a secure wrapper from the place of purchase to his home or fixed place of business or while in the process of changing or moving one's residence or changing or moving one's fixed place of business;
(14) a person engaged in firearms-related activities while on the premises of a fixed place of business which conducts, as a regular course of its business, activities related to sale, repair, pawn, firearms training, or use of firearms, unless the premises is posted with a sign limiting possession of firearms to holders of permits issued pursuant to item (12);
(15) a person while transferring a handgun directly from or to a vehicle and a location specified in this section where one may legally possess the handgun.
(16) Any person on a motorcycle when the pistol is secured in a closed saddlebag or other similar closed accessory container attached, whether permanently or temporarily, to the motorcycle.
SECTION 16-23-10. Definitions.
(10) 'Luggage compartment' means the trunk of a motor vehicle which has a trunk; however, with respect to a motor vehicle which does not have a trunk, the term 'luggage compartment' refers to the area of the motor vehicle in which the manufacturer designed that luggage be carried or to the area of the motor vehicle in which luggage is customarily carried. In a station wagon, van, hatchback vehicle, truck, or sport utility vehicle, the term 'luggage compartment' refers to the area behind the rearmost seat
SECTION 23-31-230 Carrying concealed weapons between automobile and accommodation.
Notwithstanding any provision of law, any person may carry a concealable weapon from an automobile or other motorized conveyance to a room or other accommodation he has rented and upon which an accommodations tax has been paid
