Technically speaking, the 8.1 is not an "LS" motor, though the injection on it is virtually identical to all other LS motors.
Bolting an 8.1 into a square is easy peasy. ORD big block engine crossmember, and motor mounts that are in the square already will work just fine. Most all GM bellhousing bolt up to 8.1 (though if your running a half ton 700r4 or TH350 it most likely won't last long unless you do a rebuild with some upgrades). Then fueling you will need to pretty much redo most of it since yours is a '73. Probably best way to do it is get a TBI tank from a square burban, put an EP381 pump in it, and then run lines that handle the higher pressure up to the motor. Electrical, just purchase a full stand alone harness/computer and call it good. Exhaust, can just leave the stock manifolds for 8.1 on there, just need to clearance the frame, or get manifolds/headers off any older 7.4 and they will bolt up to the 8.1 and clear the frame on a square.
With 6.0's and 5.3's you have to do pretty much all that plus worry about conversion motor mounts, and exhaust is a bit more tricky. If debating 6.0 vs 8.1, I honestly say 8.1 would be better. More low end tq and more horsepower in stock form, and the 6.0 won't get much better mpg's then the 8.1, so would rather have the power (unless you plan to build the motor, then go 6.0 as the aftermarket support is much greater for cheaper). If care more about drivability on street and economy, then go with the 5.3