But if the twins’ beds, most of their clothes, and toys are there already… where are they sleeping before you move in?
I’ve moved with a small DC before and about to do it again, you just prioritise sorting their room out first – paying for packers is worth every penny, you’re not paying for the length of drive, you’re paying for the lack of stress of someone else boxing everything up quickly, disassembling furniture, reassembling at other end, etc. At the other end, the goal is to get the twins’ bedrooms set up ASAP. Everything else can wait. You have a moving day box you keep with you, not the movers, with snacks, bath stuff, PJs, all the vital stuff, so you can parent smoothly round the disruption: tea, bath, bed.
Then fish and chips on the floor/pile of boxes/chaos for you and DH.
If DH is liable to wander off – can’t he wander off with the twins to the nearest playground and cafe while you sort the house?