An hour in the car is a short trip for a bearded dragon, and the risks are not distance — they are sliding, chilling, overheating, and escape. Set the carrier up so none of those can happen, and the journey becomes the least interesting part of your dragon's day, which is exactly what you want.
The Carrier
Use a hard-sided pet carrier or a sturdy plastic tub or box with a lid that fastens, and ventilation holes or a mesh panel. It should be big enough for the dragon to lie flat and turn, but not so big that it gets thrown across open space at every stop. Line the floor with a folded towel or layers of paper towel: grip matters, because a dragon scrabbling on smooth plastic for an hour arrives exhausted and stressed. Leave out loose substrate, climbing branches, and any water bowl — everything loose becomes a projectile or a spill in a moving car.
Never carry a bearded dragon loose in the car, on a lap, or perched on a dashboard. A startled dragon is fast, a car interior is full of places a lizard can vanish into or be injured, and a dragon under a brake pedal is a danger to everyone on the road.
Placing It and Managing Temperature
Set the carrier flat on the floor of the rear footwell, wedged gently so it cannot slide or tip, or strapped on a seat so it sits level — the floor is usually the most stable and the least sunny spot. Drape a light cloth over the top to cut out visual stimulation; most dragons settle and even doze in the dark. Keep the car at a temperature comfortable for you in shirtsleeves, keep the carrier out of direct sun through the windows, and avoid blasting it with heater or air-conditioning vents.
For an hour in mild weather, no extra heat source is needed, and adding one creates the larger risk: a dragon in a small box cannot move away from heat, and overheating harms faster than a mild chill. In genuinely cold weather, a wrapped heat pack taped to the outside of one end of the carrier gives the dragon a warm end to choose rather than sit on. The absolute rule for any trip: never leave the dragon in a parked car, even for a few minutes, because a closed car's interior temperature climbs quickly past anything a bearded dragon can tolerate.
Before, During, and After
Time the trip sensibly: let the dragon bask and digest in the morning rather than travelling straight after a large meal, and expect a toilet accident on the towel — normal, and the reason for the lining. An hour needs no food or water stops and no handling breaks; each opening is an escape opportunity and a temperature loss. Drive smoothly, and skip extra errands on the same run.
At the destination, the enclosure should already be set up with its basking spot at temperature, so the dragon goes straight from carrier to warm enclosure and is left alone to settle before any handling, feeding, or bathing. A dragon that basks, then eats normally later that day or the next, has handled the trip exactly as intended.
One journey precaution costs nothing and covers the worst case: attach identification to the carrier itself. With KinsLe's Verified QR ID Pet Profiles, your dragon's carrier carries a unique code anyone can scan to reach you, so if it is ever opened by the wrong hands, dropped, or separated from you in a road accident, the person holding your bearded dragon can contact you immediately instead of guessing.