How did they make the nice moving shots in this video?
It's two very basic tools in After Effects.  The first is simply either a perspective correction or a 3d transform depending on which way you want to do it coupled with an x/y movement across the frame.

There are also a few different ways you can approach the blur such as using a layer as the basis of the amount of blur and using a mask or using a filter that supports a blur that changes with the distance from center (I think there is a built in filter to do this under the blur filters, but if not, I'm sure there are third party ones.)