If these axles are in a daily driver and you haven't had an axle torn apart for more than an oil change, it might be best to consider having a shop do the work. If it's not your daily, then you have the luxury of some down time to read, research, find tools, etc.
If you're in snowy country you might consider leaving the front differential open or manually selectable. I installed trac-lok clutch-type limited slip front and rear in a D60/Ford 10.25 equipped F350, when the truck was on ice or compacted snow, it had very unpredictable steering compared to an open front axle. I would be climbing logging trails on ice and every time I rolled into the throttle the whole truck would slide towards the edge of the mountain. Rocky, muddy terrain is less of an issue.
If the truck is a manual transmission, the drive line lash that a locker adds might be really annoying. I put a Detroit Locker in a D80 in an old F-450 and the lash drives me absolutely crazy when driving it in the city.
Might consider starting with the rear axle. A True-trac is an outstanding, modern design similar if not the same as you'd find in a newer truck, they have smooth engagement and are fairly durable. A clutch-type limited slip is kind of hit and miss, they can range from a soft engagement that makes you wonder why you installed anything at all to a very positive engagement, these were the standard for OE limited slip in the 90's. A selectable locker gets complicated but gives you control over what that axle is doing, they cost more and add more equipment to the truck. An automatic locker, such as the Detroit Locker are noisy, harsh, positively locked, steering compromised, tire wearing, bullet-proof, and effective.
Not an easy decision.
Best of luck!