When in doubt, Leave it out
I'm often asked, "What can I not move?" My normal response is, "What did you have in mind?" To accurately answer your question, I would have to provide you with a laundry list of items, half of which probably wouldn't pertain to you or your move. It will usually save you some time if you tell me the items you have questions or concerns about.
This might help too U-Pack has a "do not ship" list at upack.com. Check it out. You're probably going to find similar items listed with any company you choose to move with.
Here's an overview: