There are a lot of ways as shown above.
How long are the fork lift tines? I've seen guys lift and load bare cabs (no doors) by sticking the tines all the way through from, say, the driver's door through the pass door. Just lift and move. I bought a cab many yrs ago that was hoisted like that. Remove the gaskets..put a board along the top to protect the pinch weld. The cab I got didn't seem damaged. But there's always that chance I guess. You'll need plenty of ceiling height to do that.
Or a guy could lift each side of the cab a little at a time by placing a 2x4 and tines under each side of the rockers. Its easier to do with a fork lift or skid steer b/c most floor jacks don't go that high. If the rockers are rusted apart, that might not work so well.
Some guys work the cab up, then assemble a home-brew cribbing under each side (like Jenga)...then remove the rear wheels (lowers the rear end) and slide the truck out on wheel roller units (or some-such). Then lower the cab onto a trailer or wheel'd cart to work on it.
I've seen guys over the yrs also hoist up with straps using an overhead gantry or solid shop beam.
Having access to a fork lift gives you a few more options. If the tines aren't long enough you could borrow or make some 'slippers'... (fork extenders).
If you wanted to distribute the lifting forces out more, you could probably put a long 4x4 (or two 2x6's sistered together) through the cab (rear lifting point), and hook chains/straps to a fabbed-up bracket connected to some of the mounting holes in the front of the cab near the fenders (front lifting point). Then use 4 chains to spread the load out more evenly. There are some captured nuts near the front corners of the cab which look pretty strong.
Come back when you get it off and show us how you ended up doing it, and the good/bad of the technique you used. So we can be a little smarter. Good luck!