There are some interesting stories here, I got a 4 speed TR7 fhc in 1978 and the diff whined even then, I was always looking for a fifth gear on the 80 miles a day commute to Nottingham but I was young and she was my pride and joy so I put up with it.
Wind forward to 2010 and I got the chance of another fhc from someone on this forum that needed the engine rebuilding and the bodywork sorting, I did that and put it back on the road, great but oh that *#%ing gearbox and back axle, it belongs on the Morris Marina and that's where it should stay IMHO.
I swapped the gearbox and back axle for a five speed and passed on the old kit to someone renovating a 7 in SW France, the FHC I have now feels like a different car and I don't care if it's not a four speed and they may become rare because I don't want to drive one.
I swapped the gearbox and back axle in my council garage with some decent axle stands, 2 trolley jacks from Aldi, assorted bits of wood and some threaded bar to align and pull together the gearbox and engine.
All you need is ingenuity, willpower and basic tools but the overriding desire is to put a decent gearbox in the car so it's a pleasure to drive again over longer distances I.e. 10 miles as that was about my limit

That's my twopence worth on the subject for what it's worth.
Dave