Phuket Holidays

My husband and I are planning a holiday/honeymoon to Phuket.
My sister recommends Kata or Karon beaches rather than patong, as she has been there.
We would like to relax etc but my husband is quite adventurous and so we would also like to be able to explore and do some outdoor activities etc.
Is it going to be expensive or annoying to travel from Karon to Patong if we want to go shopping, eating, maybe experience the bars and nightlife?

Any recommendations people have would be appreciated.

Kata-Beach and Kata-Noi-Beach in Phuket, Thailand. Both beaches are very near. Kata Noi has a nice beach-area with bungalows build into the hill. Here you can stay directly at the beach. Sleep with the sound of waves. Kata Beach is mainly occupied by the Club Med Hotel. There you find a lot of trees, which are giving you a lot of shadow, while relaxing.