Phuket Art Gallery.
Art studios and galleries are found in all tourist centers, sometimes with several available within meters of each other, and at other times simply by themselves. It's well worth exploring to see the differences in what's available and taking the time to find the art that's exactly what you're looking for.
Most gallery shops have staff working right there and it's interesting to see and meet the painters at work. Many shops are highly experienced at copying your favorite photograph of friends or pets, just ask and any artwork you purchase will be prepared to carry on your return trip, or to arrange Shipping.