While on the vacation you can get arround with public transportation. Local bus service is good for transfer in the capital and in the suburbs: Afra, Saint Ioannis, Kanoni, Perama, Achillean.
Transfer Service for long-distanced cities of the island such as: Lefkimi, Kavos, Karoysades, Glyfada, Saint Georgious North and South, etc.. you can use KTEL buses.
There are a lot of car rental options available in Corfu. Corfu car rental depending on the time in holiday season can cost you from 20-50 Eur per day. Again also in this option earlier Corfu Rent a Car Booking will save you a lot of money.