Another thumbs-up for both the Guidance Notes #3 and the On-site guide. GN3 covers a lot of how & why of testing, and also has some notes on types of test equipment and real-world accuracy to expect, a very useful thing to have read cover-cover at one point for background info.
The OSG is also one of those useful books as it has tables of common circuit limits (e.g. how long you can run XYZ cable on ABC protection, etc) and the Zs limits for testing for common fuses and circuit breakers. It also has handy tables not in the regs for stuff like recommended spacing of cable support clips, etc.
Ideally you want a MFT so only one box to keep an eye on and feed batteries from time to time. That and a volt tester/proving unit would be your basic test kit. Typically you need:
- Low ohm for earth bonds, R1+R2, etc
- High ohm at 250V and 500V for insulation testing.
- AC volts for checking supply in-spec
- Zs/PFC for supply characteristics and end of circuit check against fuse/MCB values
- RCD trip times for at least 30mA (final circuit) to 300mA delay (incomer TT, or farm fire protection). You should have at least type AC and type A RCD test available, but type B is needed for some cases now (photovoltaic protection, some EV chargers)
Generally get the best MFT you can afford that ticks the list you need now and maybe in 2-5 years. As already mentioned, auto-RCD is a massive help, you connect up and then just keep resetting the breaker, finally copying the numbers down, or if really fancy saving to PC/laptop/tablet for form-filling.
To begin with I would say you ought to write down values, what you tested, where you did it and any other info like date, etc, in a small note book or diary. Helps sometime!
Other stuff if you look to do commercial work is the earth rod check already mentioned. If you have a supply you can check this using the Zs method, but if installing / commissioning without a safe/dependable supply then you need one that can use earth spikes to measure the rod.
Another MFT feature on some is 3-phase rotation checking and allowing you to measure PFC phase-phase which is handy if end of a long line with delta load and no neutral!