Take this advice for what you paid for it, since I am no real professional...
I read over on Practical Machinist, in the rigging section, about how many riggers in other countries *never* move anything with a forklift. The reason for this is that you're picking up a fairly top heavy, tippy weight from the bottom. Coupled with the fact that anything you'd really call a rigger in to move (i.e. definitely bigger than a South Bend 9A, for instance) is a not-insignificant fraction of a typical forklift's load rating and you need to be *very careful*. What they do instead is use something more like a telehandler and pick the machine up from above with a chainfall attached to the handler or move on skates directly underneath the machine. This keeps the center of gravity either 1) below the pick point or 2) effectively as close to the ground as would be possible while still adding wheels to move the thing.
The takeaway I got from that whole discussion is the following: lifting a machine with a forklift is done regularly in the US, can be done safely, will likely be done by a huge number of people, but it has some specific challenges that you want to keep in mind. In your case, moving across a property, potentially over uneven ground, with a machine on the forks, you probably want to plan your route to keep it as flat as possible. You should also plan it to keep the machine as low to the ground as possible. Consider, say, grading the driveway if it's gravel prior to moving things out of their current building. Similarly, try not to keep your fork pockets close to the center of gravity of the machine. If you have a lathe with room between pedestals rather than a chip tray, for instance, maybe get the fork pockets up nearer to the ways so that you're not making the tipping problem worse. This makes them not amenable to a pallet jack, but is handy for powered moving.
Otherwise, I recommend the idea of hanging the machine from something from the forks, since that allows it to swing a little to take up uneven ground.
Final note about the bolting the machine to the frame. I assume you intend to use some rectangular tube and/or angle iron and weld things up, and if so, this should apply. If you're doing something else, maybe it'll be less important. If you weld up a frame in the shape of a Pringle chip or a horse saddle, something with extremely exaggerated twist and cup and bow, and then you bolt your lathe to it, that might introduce twist in the machine that is impossible to remove with leveling feet. It would take some careful modeling in good computer aided engineering software to really tell you what your design of frame could do, but I can certainly imagine a level of strength in a frame, coupled with weld induced twist that would "permanently" twist up a long and relatively light lathe. Just keep that in mind. A mill or a surface grinder on the other hand should be built sturdily enough to "hang it off the wall" and still make good, true, accurate parts, but a lathe is a different matter.
Good Luck,
Will