While I admit to knowing a bit about electronics and electricity, I found the task of installing a brand new wiring harness into my 1959 TR3A to be fairly straightforward. I simply downloaded one of the several color-coded wiring diagrams that show the wiring schematic and followed the color code when hooking things up (modern wiring harnesses are built to use the older wiring color codes). The only time I had problems was in resolving the difference between the schematic diagram and the reality of the physical hookup. For example, the wiring diagram shows a brown and black (main color first, stripe color second) wire running from the control head to one of the horns and then from the first horn over to the second horn. What I had to learn for myself is that the second wire that runs between the horns was built into the wiring harness, but I needed to also create my own 1.5 ft extension from the ends of those wiring harness wires into the horns themselves. Other weirdness like finding out that in order to test blinking turn signals, it is necessary to actually have a turn signal attached to the harness (and not just a LED-based shop test light) was learned by trial and error. These two problems were the exceptions, however and for the most part I could easily follow how to hook things up.
A cheap Radio Shack meter is fine - you will need something to measure voltage and ohms, and I found it very useful to have a meter with a buzzer (it checks for electrical continuity). A cheap 12 volt shop test lite can also be useful, but your meter can stand in for the lite.