Very nice! I've gotten some good deals on used machinery, but never a free lathe. May I ask how that came about?
I've also moved a lot of machine tools.
I would recommend against an engine hoist. They are designed in such a way that the feet need to go under what you are moving. It is difficult to pick up a free standing machine with one.
Is there any help loading it, or do you have to move it from where it sits to your garage?
You can roll really quite heavy things across a clean concrete floor using roller. Steel water pipe works well, but believe it or not, even 3/4 inch pvc pipe rollers can handle a lot of weight.
As far as picking things up and setting them down between a floor and a trailer or truck go, I've done it a few different ways.
Best and easiest is with the proper tools. A skid steer and a chain put my shaper in a trailer.
In lue of that, a chainfall on any suitably sturdy point works. I happen to have a steel I beam running across my garage, supporting the second floor. I welded a D-ring to it. I backed my trailer into the garage, under the D-ring, and hooked it up with a heavy strap (6400lb), and picked it right up with a 2 ton chainfall. Drive trailer out from under it, set the machine down.
Once I found myself in a real bind. I had a great deal on a mill, and was able to use a pallet jack to load it off a loading dock into the bed of my F250. Now the hard part, getting it out of the bed of my truck. Lacking a suitable high place to lift it from, I spent $110 in wood and knocked together a gantry. Problem solved. I sold the gantry a week later for $100 on craigslist to a guy who needed to get a salt spreader out of his truck bed.
Other random thoughts:
Machine tools are top heavy. It's better to hoist them up then to lift from underneath.
This isn't actually that hard to do, but you really have to thing about your moves before you do anything. Don't be in a hurry.
Don't place yourself under anything suspended.
Let the tools do the work
Watch the weight ratings of any lifting equipment.