Grant, however you proceed, you have the basics of a project many of us on the forum view with envy.....a complete original machine and a registered title. You may find that with a little care, many of the components you mentioned are still serviceable. Modern replacement parts are of dubious quality and sticking to original bits will save endless hassle as you know they will fit.
Your first problem is that there is a good chance none of your modern spanners fit, so have a look round for BSF and Whitworth sizes. A 3/16" and 1/4" Whit spanner will cope with most of the smaller fixings. A couple of nice adjustables for the bigger stuff. Most nuts and bolts are CEI (Cycle Thread), threads into castings are Whitworth. Cheap carbon steel taps and dies are useful to clean up rusted threads, plus WD and a bit of heat, rather than a lot of force, on the more stubborn fasteners.
It will be a bit of a learning curve, but YouTube has plenty of "How I did it Viddys", one of which features a well respected and very active member of this very Forum. Haynes is OK, but features emphasis the later swinging arm models. Roy Bacon's restoration manual is well worth tracking down.
Take it slow and steady, ask if you are unsure, and Good Luck.
Swarfy