I can see why you feel this way, and don't really see anything wrong with your packing the unbreakable items, though under the circumstances, I'm sure your DH has your best interests at heart in wanting to spare you that effort. Most likely the movers will do okay. It would be good if you're able to hang around with them and write on the boxes what you need to know or, better yet, keep your own list of what's in each box according to the numbers they apply. Possibly you could line up the most urgent items and ask them to put them together. Definitely let the pros pack things that are very expensive or breakable because you could have terrible losses otherwise that would be excluded from the insurance. We've been through quite a few moves, and I've seen very disrespectful handling of things a time or two. If you challenge them, some will shrug and say - don't worry, we're insured - as if that would make up for the inconvenience of a claim process, to say nothing of loss of irreplaceable items. Many movers were wonderful, on the other hand. I hope you get that kind.
The solution is definitely NOT to pack your own machine unless you can afford to just lose it. If you pack it for the move and it breaks you may be out of luck. Breakage is probably not covered on PBO (packed by owner) items. If it is stolen during the move you might have trouble proving what was in the box you packed. Take lots of pictures of your belongings before the move, including serial numbers, if possible. Give a back-up copy of them on a flash stick or CD to someone you trust, and take all the documentation papers for valuables with you. There are websites where you can upload scans of such papers and photos of your personal property. Allstate has a link to one on their website.
Best wishes. I'll be hanging on to see your report from the other end.