Get insurance
We have moved 11 times in the last 39 yrs. Most of our moves were just fine but we have had several claims over the years. We have always bought replacement insurance and taken pictures of our furnishings and gotten appraisals of our antiques. We have had movers steal a TV, musical instruments, silver coin collection (that was when we were young and naive and had them pack it and carry it on the truck......the interesting things was, they only took about 1/2 of the coins and it was 2 months before we noticed it and couldn't claim it then.) We also had them put a CANOE ON TOP of a Queen Anne highboy!!!!!! Needless to say we had a major claim that move!
I learned that it is very important to make sure you note that every box is on the inventory and that all the damage that note on your furniture is accurate. A small scratch on a wood piece can be made to sound like it is falling apart!
If you are not having the moving company pack your items, then it maybe more difficult to insure them.
Be sure to label each box with the room that you want it in in the new house. Makes it much easier to unpack.
Hope that helps some..........