Multiple answers to multiple questions!

Vortex fans are AWESOME AWESOME AWESOME and it's GREAT that you got one. The way to set it up is shown in the pics. The captions are tiny but you hang it outside your room, or wherever you can sink eye-bolts into studs, then hang it from thick ROPE, not chain, to make it quieter.

Run a piece of duct from the hood to the fan. The weight of the fan and of the hood should not be resting at all on the duct, or it tends to separate from the flange. You can secure it with duct tape or a band-clamp.

Go to home depot and buy a whole mess of the right diameter flexi-duct. It's simple to work with, albeit unwieldy, and you can usually affix it with a GOOD QUALITY duct tape.