D60, can i take a picture using the screen instead of the eyepiece?

That's because the Nikon D60 does not have Live View. Up until a couple of years ago, no DSLR's had live preview, due to the design of a DSLR over a point and shoot, as it has a pentamirror arrangement that effectivly deflects the light path to the viewfinder and only to the sensor when the internal mirror is raised. Early live preview models from Olympus had the world's first Live View system by flipping the mirror so that the picture preview could be seen on the rear monitor. Most manufacturers now incorporate Live View into most of their models but most Nikon consumer models do not as yet, apart from the newly relesed D90. Most photographers trading up from a compact to a DSLR are surprised when they cannot use the monitor in the same way. However for most aspects of DSLR photography Live View is not something that is used all the time, low down shots, macro perhaps being the most convenient use, but for general photography there is no substitute for framing through the viewfinder, that's what we've been used to doing for over half a century! Besides as pointed out previously a DSLR is often too heavy to hand hold at arms length especially with a long lens.

Sorry, you cannot use the screen for preview of an image before you take it. Since the shutter remains closed until you actually take a picture, there is no way to have an image on the screen before it is captured.

The only option for remote viewing of the images from your Nikon D60 would be to get a Zigview screen, which is a small screen and sensor, that takes the view through your viewfinder and projects it onto the screen. There are several different versions and they range from 100 pounds upwards. It's a costly solution, but a solution none the less.