Is the Nikon 18-55mm VR good for a Nikon D7000 and for somebody with shaky hands?

I've been looking at this lens for my soon to be Nikon D7000 but I just want the opinion of somebody who has had experience with the lens. My arms are rather shaky so I need to know if the image stabilization would work well.
If not, is there a better lens I should be looking at?

There should be no camera movement if you are holding it correctly.

Look on page 37 of your user manual to see how to do that.

If you are trying to use you fine dSLR as you would a P&S camera, holding it at arm's length, then you will have do just deal with camera movement and thus a lot of blur, VR or no VR

If you hold the camera and lens correctly, you can shoot using a 300 mm lens WITHOUT using VR. Shorter lenses like the 18-55 mm should not show any camera movement during exposure if 1) you use a high enough shutter speed and 2) lock the camera/lens tightly against your face, squeezing the shutter release.

The Nikon 18-55 is a VR 1 lens. That means 2-3 stops advantage. With the VR II lenses like the 16-85 you get 3-4 for stops.

On the other hand, let's say you're at 35mm, then 1/40 would normally be enough. With VR 1/8 or 1/15 would do. That's so slow that a lot situations where you'd typically use this lens, situations involving people the shutter speed would be so low that your subjects would cause unsharpness.

So, VR will help as will proper technique but nothing will freeze your subjects.

Yes its a good for nikon d7000

Nikon AF-S 18-55mm f/3.5-5.6G DX VR [Vibration Reduction] Zoom Nikkor Lens + WSP cleaning kit

18-55mm lens with f3.5-5.6 maximum aperture for Nikon DSLR cameras
Features a Silent Wave Motor and and Vibration Reduction (VR)
0.28 meter/0.9 foot closest focusing distance throughout the entire zoom range
Focal length equivalent to 27 to 82.5mm in 35mm photography