Getting there and away, Getting around by Air, Train, Bus, Car, Motorcycle, Boat, Hitchhiking, Bicycle ... MRT (mass rapid transit) gets you from the airport to anywhere else in the country. There is also the buses that connects from the MRT, and the light rail (LRT) in some area (mostly for commuters). Taxis are affordable, but may be hard to get at peak hours. Taxis run by meters (starting fare is S$2.40), there are peak hour surcharges (an extra dollar between 7.30 - 9.30am, 5.00 - 8.00pm) and ERP charges (maximum S$3). So unless the driver takes you on a longer route, you won't be easily ripped-off. Plus you can take down the licence plate number and inform the cab company, so it won't happen to other travellers. Try not to drive, parking is expensive, traffic jam happens, and the highways are tolled (ERP). You will need a valid international licence to take to the roads, if you do and drive on the right side. Hitchhiking is not recommended, most drivers won't stop or know that you're trying to flag them down. You are better off taking the public bus, or MRT. It's cheap, efficient and dependable. In this manner, you might even be able to befriend locals who might be able to show you around or tell you all the good spots to go.
An interesting way to tour the streets of Singapore is to take a trishaw ride. It is recommended that you avoid hailing a trishaw off the road. If you do, make sure that you agree on the fare to your destination before getting on.