I've done this conversion by rewiring the whole bike from scratch.
IMO it's a piece of cake, and I'm no electrician.
I bought a cheap and cheerful regulator/rectifier (R/R), and I keep the charging system on a separate circuit with its own fuse - the R/R goes straight to the battery.
The bike came with Boyer electronic ignition, and it is a simple job to connect it up for -ve earth.
I have a total of eight fuses to protect the various circuits, so that I can tell where the problem is, unlike the single "something's gone wrong" OEM fuse setup.
Head lamps and horn are driven directly from the battery for minimal voltage loss (with fuses, of course).
I can buy inexpensive LED lamps, as +ve earth LEDs are expensive and difficult to find.
Fuses are blade ATM type, and easily bought at any car accessory shop or garage.
I dislike bullet connectors, and I found some cheap mains latch type connectors that work very well (see pics).
For in-line connectors I prefer to use the modern waterproof variety - bulky, but reliable.
Battery is by Motobatt - I like the four terminals and leak-free construction.
As I dislike the original Lucas switchgear, I used some early Hinckley Triumph units, which work really well:
