I think many people rely on a couple of clamp meters... one for lower values, and one for higher, as their sensors are optimised for a certain ranges.
This.
We have current clamps ranging from 1mA to 2000A. We mostly use the medium-sized clamp (Fluke 337), but if you want to measure the standby current of a power supply, for example, the Fluke is no longer sufficient, and that's when the Benning comes into its own.
We use the large Fluke clamp, which goes up to 2000A, for battery current measurements.
Of course, you should have a rough idea of what currents to expect, so you don't damage anything.
For personal use, I would also choose a UT-210E or the equivalent from Owon as a “medium size” current clamp.
If you want more precision in the very low current range, you can add a CM11 or similar device.
So you should have two clamps.