Citygate Phuket Condominium (https://citygatephuket.com) is easy to access from the airport. In fact, you can even book your airport transfer in advance for greater peace of mind with the additional charge of 1400 THB.
Just use the "Let us know what you need" section of the booking page to let the hotel know you want a ride, and they will contact you via the Agoda messaging service.
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For those who wish to drive their own cars, Kamala Apartment has a car park right on site for maximum convenience. Parking is free for guests. Self-parking is conveniently available at the hotel.
If you're looking for an easy way to get around Phuket with private transportation, the hotel can arrange both taxis or car rental.