If you are from the U.S. and live anywhere outside of a few major cities, you have probably faced the incredibly car-centric reality of living in America. Being from North Carolina, coming to Singapore (which, to be fair, is about 175 times smaller than the state) was a breath of fresh air in terms of options and convenience for getting places. There is a great, reliable bus system, as well as an even greater (in my opinion) subway system, which is called the MRT, or Mass Rapid Transit. The best part is, they only cost a dollar or two at most.
People in Singapore do own cars, and there is plenty of infrastructure that will get you wherever you need to be by car. However, car ownership is very expensive here, and it is not a viable option for some. Luckily, the city is very well connected by bus and train, from the famous central areas downtown all the way to the outer stretches of the island. These methods usually take slightly longer than commuting by car, so in a pinch you can call a Grab, which is essentially the same thing as Uber for much of Southeast Asia. Other than that, there are numerous apps for renting a bicycle to ride around town for a small fare. The city is also very walkable, but since it's so big, you most likely won't want walking to be your only method of transportation.