Badger,
You're not going to get 'shallow' DoF with that kind of camera. You can try to cheat it some by doing as Charles mentioned by 'opening up' your exposure to its widest point and moving in close on your talent. The specs say your widest aperture is F-1.8 which is plenty wide.
Two issues will frustrate your efforts for shallow dof. One your camera has a 12x lens on it. That means a deeper depth of focus and depth of field. Two, video camera image sensors unless specifically made for cinema or photographic work are designed for video imaging.
The reason video camera imagery generally looks like 'video' is because the sensors are refreshing the frame faster than with film (29.97i or 30p vs 24fps or 24p). This gives the 'realistic look' typical of video.
Now like I said, you can 'cheat' the dof some. Along with the previously mentioned technique which will have some results, you can get a Wide-Angle Lens Adapter/Converter to attach to your existing lens. Depending on how wide the lens adapter is, will dictate how much shallower your dof will get. Keep in mind though, it won't be the same as if you were using a photographic or cinema prime wide-angle lens. Also, you'll lose a stop or two on your exposure.
Bottom line: your camera like all others have limitations. Your job is to figure out what they are and learn to either work with them or around them best as possible.