For your re cap do it one stage at a time. Recheck as you go every few caps.
Order is: power supply - HV & horz - vert - then the rest......
Many sets never work again after a re cap so go slow.
47 mfd is fine for 40's. Off the shelf caps come in 1, 2.2, 3.3, 4.7
10, 22, 33, 47 etc. SO use a little higher in mfd, voltage & heat.
Tolerance is high ( 20%) anyhows.
good luck
Zeno
LFOD !