Tuk-tuks are indeed unique vehicles and can not be found in other countries, but they do not use gauges to determine travel expenses. Often the price of a tuk-tuk ride is much more expensive than the meter taxi cost. I suggest avoiding using tuk-tuk because besides being less comfortable, the price is also expensive and according to local people, tuk-tuk is operated by Thai mafia. If you have to use tuk-tuk, bargain the price before boarding the vehicle. Apart from that, perhaps you also need to try The Keemala Spa in Phuket.
Unofficial taxis are the usual vehicles used by the citizens of Phuket to transport passengers. This type of taxi does not use a meter but uses a negotiated price first before departure. Often the price offered is quite expensive, even more, expensive than a tuk-tuk ride, but the vehicle used is usually more comfortable than a tuk-tuk.
Taxi motor is the cheapest transportation available in Phuket. Motorcycle taxi can be distinguished by ordinary motorcycles by seeing the driver. Motorcycle taxi drivers usually wear jackets or vests that have numbers. This type of transportation is less recommended if you want to travel far because it is less comfortable. However, if you just want to take a short trip inside the city, motor taxis are perfect.