So, just take the metro and have a ride to the "Little India" station. Once you have arrived you'll feel completely different, you can imagine yourself in India. You can visit Sri Veeramakaliaman temple... My advice: just smell the difference and walk around the streets. Before enter the temple you'll see the people who ring the bell, it is traditionally to warn the spirits about you.
Understandable, when you are on a private trip get your hotel here, - at least for 3 days. Little India for a couple of hours might be disappointing because the real joy is just watching the people, their businesses and how they go through their day. While the buildings and temples are nice to look the real attraction are the people and the culture that they are living in. The most striking thing I've found was that the people there where giving very much a dam about me: they never imposed themselves, never pushing me into some buzz and probably thought I a tourist anyway. Most of the people have ethnic Tamil roots. In Singapore nobody cares about ethic roots only that everyone behaves in a orderly matter.
A must-see is the Tekka Centre. You have to go to the hawker center on the first floor and get lunch from one of the dozens of food stalls all is Curry, curry and more curry....Upstairs is an interesting antique store and an old man who sells dressmaking supplies. On the same floor there is a huge balcony area that gives you a birds-eye view of the meat and seafood market section. We spent a good amount of time there watching how they prepare and serve their meats which in fact is a world away from any other Singaporean butchers.
If I would not have stayed in one of the hotels in the city center I wouldn't hesitate staying in Little India, at least for some days by splitting the stay then in another hotel closer to the city because they are really two different worlds.
For photos of Singapore's Little India click here