Fwiw and something I learned in my career is that taking the few extra minutes to do things in a fail safe way always pays off. Cutting corners just to save a bit of time almost always has a way of coming back on you.
I can't say about the real BP's and probably there's differences between a UK and American model anyway. First leave the switch wired to the motor and just remove the switch mounting screws, and on mine, all I have to do is loosen and pivot the motor as you would when changing belt positions, drop the belt off the bottom pulley grooves on both the motor and spindle drive, remove both motor mounting bolts and the motor lifts out. If yours is similar? That all takes less than 10 minutes and you'll find the head a lot lighter to move, plus that head transports much more stably. Easier to reassemble as well. I first put the head on and get its 4 mounting bolts tightened up, then put the motor, switch and drive belt back on. Now if yours is the variable speed model, I really can't say about those. My personal opinion is the belt change model and a VFD combination gives you the best options with far less future maintenance issues with the known faulty plastic bushings used on those variable speed heads that end up causing quite a bit of noise once they start to wear. When I bought mine, I tried getting the variable speed version, but they were out of stock. In hindsight and like I said, what I did get worked out I think much better.
What you will find a bit frustrating when your reassembling it is getting those 4 head mounting bolts all the way through the holes in the head until that head can freely seat against the face of the tilt / nod knuckle end. It's sort of like using a drill press to both rotate the table and pivot it's support arm around until a drill location lines up with where you want the hole on a part held in a vise. The main difference though is you have 4 to do all at once and those head mounting bolts are a bit loose in the slots in the face of the knuckle, so they don't stay where you position them by hand. As I said, I set the spindle end on the table, balance or support the head in place, then use the knee for the correct elevation and X,Y moves on the table to move the head into alignment to start those bolts. Once the head is positioned correctly, then use the Y axis to move the head in as you fiddle with positioning each bolt shank. All this is much easier to do the second time than the first though. While the head could be lifted onto those bolts, it would be heavy and awkward to do, it's a whole lot easier to just use the mills own X,Y, Z motions to do the heavy work for you. I'd also still chose to do it that way even with an engine hoist since you can make easier and much finer adjustments using the knee and table.
And here's your first operational tip, once that head is back on and your no longer going to be using the knee for awhile. ALWAYS take the knee crank and just reverse it on the pin that sticks out of the knees vertical adjustment shaft so the handle end is then pointed towards the machine. That's a non optional habit to develop right away. Leave that crank and handle in its normal operating position and you will walk into it at some point, very painful when you do. You will forget to do so at some point and so have I, but I did warn you.