Next bit of advice: take pictures of items you do let movers take, so you can prove "before" condition in case the movers damage anything. Keep a list of electronics serial and model numbers, in case of loss.
Also, movers who contract with DOD are supposed to bring enough crew to box and pack your shipment, and move it all. Some outfits try to make money by understaffing, and some will even try to get you to help. If this happens, call your HHG office, and they will send a rep.
Pay close attention to the condition the movers list for your goods on the inventory. They tend to mark everything scratched, chipped, etc. Again, if conflict exists, call HHG.
Movers should disassemble large furniture; on the delivery end, they should reassemble it. Any problems, you get the idea...
At the delivery end, movers should put items in the rooms you specify. They should reassemble furniture. They should remove packing materials (unless you opt to keep them). If you let them go without doing this, it's on you. If they argue, call HHG.