We personally use Autodesk Inventor. While I have used Soildworks before, I find Inventor easier to use.
You can grab a free license here:
http://www.autodesk.com/education/fr...r-professional
Like waterbott said, get yourself familiar with grabcad. It's really useful for interactive previews. If you want a simpler method, google drive works just as well.
While I am not aware of any Inventor tutorials, likes simbotics has for Solidworks. (Someone post them if you know of some), I personally learned by just following Inventor's tutorials (integrated into the app), a bunch of googling, Youtube videos of a specific question, and some creative thinking. After I learned, it was relatively easy to teach just as capable team members.