Can I just chip in my own sore point about multimeters? That is resistance or current drain. When I was young, this was the main specification for a meter, but these days it doesn't get a mention in most meter specs. Even Fluke don't quote it in their sales literature and you have to look in the small print of an appendix of the user manual to find it. There is some excuse for them, as (I think) all their products are specified at the standard of " >10MOhm ", but some cheap meters (& even a few not so cheap) have much lower input resistance. I have an electronic meter with a 10kOhm input resistance. That can make a BIG difference when measuring in circuits with resistance of more than a few kOhm. And the quoted accuracies, like 1% + 2 counts, are nonsense if the meter doesn't have at least 100x the resistance of the circuit being measured.
You can of course get accurate results with a relatively low resistance meter, *provided* you know its resistance accurately and take it into account properly.
So, my advice: for a good digital meter make sure it's at least 10MOhm.
and for analogue, <= 50uA movement (equivalent to 20kOhm/Volt or more.) But whatever you get, make sure you know (or test and find out) its input resistance.
My own armoury is two good analogue meters, one 50uA 2% and one 10uA 5%, and two digital, one a very cheap 10kOhm 5% + 2, and one moderate 10MOhm 2% +2.
None of these is really accurate enough for serious measurements, but they are good enough for servicing or basic design & construction. I've rarely (if ever?) found need for any more absolute accuracy.
The cheap digital one is *really* cheap and where I notice the quality most, is in the poor leads provided. But when they fail, it's actually cheaper to buy a new meter than a set of decent leads! I'm actually on my third of these meters and it still hasn't cost as much as the 20 year old "moderate" one.
Though I warn about these cheap meters, it might be worth having one (digital or analogue, and you get analogues with even 1mA draw) just for the educational value of learning to allow for meter resistance in your measurements.