As a former Military brat, I made countless cross-country big moves with my parents and by the time I was a teenager, was "ram-rodding" the key move points. Here are a few tips:
1. Professional packers/movers - they manage Wardrobe boxes, dish packs, etc. Trust them with household goods, clothing and replaceable items.
2. Valuables such as jewelry may travel with you, but recommend some lockbox for your car.
3. Laptops, cameras, musical instruments - with you (maybe you rent a light van and spouse follows you).
4. Check with your homeowners insurance, many will cover property loss during moves provided you're using approved movers/storage facilities.
5. Know your deductible/replacement plan.
6. Inventory - movers will bar-code & number boxes so they can get counts correct. You should be provided a copy of the inventory that shows x number kitchen, bath, clothes, master, 1st bedroom, etc. They may provide electronic/pdf - print a copy no matter what to check-off at your destination. You cannot rely on technology the day of your move.
7. Plan your route and allow at least one extra day (sometimes 2) just in the event of vehicle problems.
If your company is covering moving expenses, find out their maximum payout, you may consider covering part of it yourself if the moving company has a better reputation and insurance coverage as well.
I'm sure there are things I'm forgetting, but these are the top things that come to mind.
Safe travels and congratulations on the new venture!