By bus
The main bus terminal in Corfu Town is the San Rocco Square. Useful lines include the number 7 which goes to and from Dasia every 20 minutes (30 minutes on Sundays), the 10 which goes to Achilion every two hours, the 6 to and from Benitses (not quite hourly) and the 11 to and from Pelekas every 2-3 hours.
In addition and close to the new port is the Green Bus Station from where buses depart for all villages of Corfu Island. Regular departures to Paleokastritsa, Sidari, Kavos, Roda, Acharavi, Kassiopi
By taxi
There are plently of taxi lines in Corfu Town.between the Spaniada and the cricket ground, at the heart of the shopping center of the town in Methodiou street, at the Old Port, at the New Port and many others in Gouvia, Dassia, Benitses, Ipsos, the Airport etc.
And there is the radio taxi which can be reached by phone at +30 26610 33811
By car
You can rent a car at the airport or through one of many local companies. In general, it is cheaper to pre-book a hire car via the Internet before arriving. Many of the roads are very narrow so it can be better to choose a small car. While there is a good road running North-South along the East coast from Sidari to Lefkimmi and from Corfu town across the island to Paleokastritsa, many roads have poor surfacing. Often the insurance provided for hire cars does not cover damage to the underside of the car so watch out for large holes in the road. Hire car companies often provide a free map but you may find it worth buying one in advance as the maps are not especially good, especially for the North-West interior.