Patching a DMX dimmer and fog into Hog 3pc, and a Widget substitute

I want to patch a set of work lights (yes they are dimmable) for a show. I am going to buy the DMX dimmer an I dont know how to patch it in.
(Here)


Plus I would like to know if this would work as a widget.
(Here)

Here is the Fog Machine and here is the Adapter