With the price of shipping from the UK to USA right now, it would honestly be a lot cheaper to buy a couple of strong suitcases at Goodwill, a 1 way plane ticket to England, then go on a charity shop run and find a couple vacuums that can be taken apart easily and fit in the suitcases, then buy another 1 way plane ticket back home with the vacs. Then of course providing you have a voltage converter box already.
But yeah last I checked a lot of the UK shipping is like $180. A plane ticket from JFK to Heathrow is $203. Not much more!