Singapore has a large transport network. The main system is the subway: MRT. You can buy an EZ-Link card, similar to an Oyster card, which you top up. Fares are based on the distance you travel and usually range from SG$1 to SG$2.50. You can also take the bus, however it can be confusing to know which one to take and there's a lot of traffic.

There is no Uber in Singapore but they have a local equivalent: Grab. However, taxis are in abundance and easy to flag down. They're also  reasonably priced, just make sure they have a meter. Most drivers will speak English, so be sure to chat with them for local tips. If you want to sound like a true local and be polite, address your drivers as Uncle (m) or Auntie (f).