well, then you should go to places like clarke quay, chinatown, city hall, esplanade, merlion, CBD. Alone or friends, up to you. if you wanna shoot alone then go alone. With friends then ask friends along.
Try staying for the whole day so you can practice night shots. Bring tripod along! And maybe sunglass nad hat and alot of water! Goodluck!
Its always good to shoot with a more experienced friend.
In this way, after the shoot, you can see how differently your photos turn out with the exact same scene/subject, lighting condition,etc. Its a great learning experience.
Even the way he approach a subject, how close he gets, etc can be a wonderful 'courage' booster for noobs like myself.