In my opinion Limited Slip Differentials (LSD) are best left on sports or high performance cars, they work very well indeed but I prefer the mechanical option on a 4x4, being old school.
Diffs on the front of the LC 80 are open or lockable, on the rear they are available as open, lockable or limited slip differential (LSD) the center diff is available as a open but switch lockable or LSD type, or at least that is my understanding depending on market and options available at time of ordering.
Open meaning no diff lock, lockable meaning you can lock the diff when you need it locked and LSD meaning the diff mechanically "detects" one wheel turning significantly faster than the other and locks up "automatically".
As Chris says, and certainly I myself would not want a LSD front diff, anytime you went around a corner with any significant amount of steering input/lock then the diff would lock and you would plough straight on.
Personally I would be looking at a replacement ring and pinion set that way you can be certain that the parts are in the best condition they can be and that you diff will give you many years of faultless and worry free service.
You can try toyodiy for part numbers and then amayama, partsourc, euro4x4 and toyota for price quotes on parts, or even someone like our friendly Karl for a used part ensuring that you get the right ratio.