Further to Speedy's advice, during any dismantling of hardware or wiring take lots of photographs. Dozens of 'em from several angles – they're free, and may save mucho bother later! Not unusual to see questions like: I disconnected umpteen wires. Anyone know how to put them back? And 'does anyone know where this part came from?'
As a breed lathes are top-heavy and unstable when lifted, they like to roll backwards. Also awkward to lift because most of the weight is at the headstock end. Have a plan, put one person in charge, and don't drop it. Make sure no-one is ever underneath. If it does go, make sure no-one tries to catch it – run away.
When lifting make sure the lathe is balanced and that ropes & slings don't crush anything important as they take the weight. The balance point will probably be just under the chuck. Never lift it by the chuck or headstock.
Dunno know how heavy the Boxford is, but my slightly larger Chinese toy is much easier to move with an Engine Crane. The Boxford doesn't look like a monster, but it is heavy by ordinary domestic standards. Getting off the stand and on to the trailer & vice versa may be the worst bit. (Cranes can be hired, but I bought one because kit needs to be moved occasionally. I've never regretted the purchase! )
Equipment: have a think. Spanners (imperial AF), general toolkit with full screwdriver set, torch, mirror, steel toe-caps, work gloves, tarp in case it rains, boxes or bags for loose bits, strong ropes or slings (new 1000kg rated), rollers (bits of steel pipe) if you don't have a crane, lengths of 2×4, cold beer etc.
Terrain makes a big difference. Easy to move a lathe straight through a garage door and onto a trailer parked on a concrete drive. Much more difficult to get one out of a tight space, across soft rough muddy ground and up a flight of stairs!. But amazing things are done with a few strong blokes, ropes, rollers and bits of wood. Be easier the second time, which will be when you get it home!
Allow plenty of time; in my workshop it would take longer to make a decluttered flight-path than to move the machine. And then to put all the rubbish back…
Dave