Hi, since you are travelling yourself, it might be nice to get
yourself lost in Singapore.
Boosting the efficient transport system, you can do some
exploration, get yourself lost in the Housing estates, check out
the different paint scheme and different build of the flats.
The zoo, night safari, bird park are all nice places to go
too.
You can always do the oh-so-popular shopping at the local
shopping scene. Get a taste of what it is like to stay so near to
the city centre that shopping isn't exactly a chore. Check out the
girls, do some drinking at pubs.
Check out your bargaining skills at Sim Lim Square, hunt down
for the local night market (Pasar malams). Lots of things to
do.
Food wise, don't have to go to the popular places like newton
circus to eat. There are many other much better food elsewhere.