JT,
Is the 'cooking' just a gentle heating, so the casing is at its working/heated size?
I've never built an English diff, but have LSD'd my De Dion (Sierra) diff...which was a piece of cake. The English is more difficult.
As boss says, its the gear meshing that's tricky. On your old diff, use some engineers blue to determine where abouts the gears are meshing (Inside, outside or middle of crown wheel) and then measure the back lash. Setup a clock/dial gauge, clamp the pinion and measure the backlash in the crown wheel. Take 3 meaurements around it (They should be almost identical).
The tricky bit really is the pinion. You may need a big, deep socket to torque it up. It has a crushing tube/spacer...and the aim of the game is to gradually pull it down til it's in the correct position (You can only tighten, so go slowly). You'll need to pull it down until it's nearly right...then fit your crownwheel so its in the correct fore/aft position (Shim it to stop it sliding, and put the U brackets on to hold it). You can now use the engineers blue again, and keep tightening the pinion bolt until the pinion is running in its original position on the crown wheel. (There is likely a torque figure for the pinion bolt, but be very careful...its easy to overshoot, and then you'll need a new crushable spacer).
Next you need to adjust the sideways position of the crownwheel. That is what determines the backlash. On the Sierra diff its dead easy, just turning the side nuts...but on English axles its trickier as you've to do it with the shims. Obviously you need to get your clock/dial gauge out again, and you're aiming to get the same backlash as before. Once you're there...you've to fit equal extra shims either side to preload it as necessary.
I'd advise getting it out and having a look at it. You know what needs done, and with the diff in your hands you'll be able to decide if its your kind of job or not.
Just my 2p. I'm sitting in the house feeling miserable...so that's my days work done
Willie