I have moved hundreds of machines since we got into the hobby about 12 years ago and I always prefer moving machines in two pieces when possible. 99% of the time I am moving machines by myself and I find it much easier moving two lighter pieces than one big & heavy machine.

I don't really think there is a right or wrong way it really all depends on what works best for you. If you are moving machines with heads on them (folded) I have found stretch wrap works much better than straps to keep things in place. Typically when I am doing a fold down head type machine I put cardboard on the top of the cabinet then stretch wrap that cardboard to the body before folding head down. (You can do the same thing with two piece machines) Doing it that way then stretch wrapping everything protects the front of the head and also keeps the head from sliding around.

As I get older I really hate moving fold down head machines more & more and love not having an extra 100 pounds on the handtruck when I move machines in two pieces!