Thanks everybody and especially @elliottbnewcombjr for the very informative pictures. I am going to go for something like that small LED-lit magnifying mirror and a BelOMO loupe.
Only problem is that I live Down Under. The Australian website selling BelOMO has stopped carrying them, offered me a Russian one instead. They think that Amazon may be able to oblige. The US store's website has them as "out of stock' but apparently some have just come in. Next issue - they only have facilities to ship to the US. But in a few weeks' time that should change! Down here, we just pop things in the mail.
As a trading nation, Australia does not have tariffs, and the local 10% goods and services tax is not normally charged on small imported items so we positively encourage imports. In exchange for our copious supplies of iron ore, coal and gas, I'm afraid.
Have not been able to find a suitable mirror yet, either! But as they say, I am looking into it