Just a few observations, not suggestions as to which are the “best” units of measurement.
Re Calipers, I’m forever changing batteries in Lidl/Aldi cheapo ones; I but them in quantity (from Lidl or eBay) and it doesn’t bother me too much if I’m using the workshop frequently, but a pain with items I rarely use and are flat when I pick them up.
I store those with the batteries out, for such as angle gauges, it also save them corroding inside.
I can’t remember the last time I changed a battery in either of my second hand Mitutoyo calipers, and they use the same batteries.
The above applies to cheap versus expensive digital micrometers too.
Too much danger of mis-entering numbers in a calculator, so I often use a digital caliper as a unit converter (or Zeus tables).
This applies particularly for someone who doesn’t have a “feeling” for both measuring systems, where a discrepancy might be more obvious; i.e. mis-thinking ten thou for a tenth of a mm when tired.
Do you already have machine tools such as a lathe or milling machine; absent DROs (which I don’t have) it probably makes sense to have measuring gear in the same units as your machines.
For use in a home workshop, we don’t really need fully NAMAS calibrated equipment; consistency is more important between all instruments and machines, so that your 0-1″ micrometer, reads the same as your 1-2″, the same as your bore gauge, and caliper(s) etc.
High quality bearings are made to tight tolerances, and can serve, with care, as slip gauges to compare instruments.
Speak nicely to a local bearing supplier and try and pick up some loose bearings of known sizes, ball or roller.
Two of each makes calculations easier when used for measuring dovetails etc.
They can even be used to ensure the anvils of a second hand micrometer are actually parallel at various measurements, thus indicating if the instrument has previously been dropped.
Because my first larger lathe was an imperial Myford, along with my micrometers, I still tend to think and work in imperial, but readily also use Metric on my larger lathe with has dual dials; it doesn’t take long to get used to it, and having dual dials also give one a better feeling for the two systems alongside one another.
Despite working in imperial, for many years, almost all of my drill bits were metric in 0.1mm steps from 1-10mm
Bill