By far, the best approach to night photography is a tripod and cable release. Even the least capable cameras and lenses can do amazing things with a tripod. For example:
Clearly this is one of the proverbial "black cat in a coal mine" type of shots. And it even has a human in it, and even so the subject motion isn't too much of a problem. This was shot on a D100 (several years older than your D60, more noise, less advanced processing). With the 18-55 kit lens, but on a tripod.
The equipment matters, but not as much as you'd think given the internet chatter.
_____ Brian... a bicoastal Nikonian and Team Member
My gallery is online. Comments and critique welcomed any time!