If you want to try something different, stay at Changi Village Hotel (
http://www.changivillage.com.sg). Complimentary shuttle to and from the airport.
During the day, walk to the hawker centre near the bus terminal in the morning and have nasi lemak served by one of the best hawkers in the country. Take a bumboat ride to Pulau Ubin and see a part of Singapore that most tourists don't get to see.