By car
Renting a car is not optimal, but nice if you wish to travel around/within the Kenting area. Having an automobile or renting a scooter in Kenting enables you to travel up and down the entire southern seaboard and visit both public beaches easily.
By Hsr
Kenting is accessible via the HSR, or High Speed Rail which connects Taipei with Zuoying, Kaohsiung. The total travel time from Taipei to Zuoying Kaohsiung via HSR is approximately 90 mins. After arrival in Zuoying, exit the station and head outside where there is a bus stop. Line 88 bus to Kenting operates 24 hours/day, so getting back to the HSR on time is no problem. Ask your place of accomodation about shuttle buses, or you can take a taxi, which usually picks up passengers until it's full and then quotes a price per person for the trip.
It is advisable to reserve your HSR tickets by telephone or online if traveling on the weekend. Weekend trains are often sold out.