I had to machine 8 UJ's for my moulding machine in my workshop. They each took drives from 3 HP electric motors so were larger than yours I expect. they came with 10mm holes & had to be increased to 15mm with a woodruf key slot
I had nothing to do the key slot so tried a bodge which may be of use to you if you have to put in a key slot.
I worked out where the circumfrence of the hole came & on the circle I centred a 10mm drill & bored a hole.
When I drilled out the 15mm hole ( may have been 18mm memory a bit slow these days) I was left with a semi- circular slot/groove . The woodruff key in the motors stood up about 5 mm so by grinding a round on that half of the key I was able to assemble it. The machine worked daily for the next couple of years machining 1000's metres of timber.
For the model engineer it must be easier to broach the slot if partially cut out. One would only be taking the corners out of the groove. I mention this because I have never seen it written before & expect that it could be adapted on UJ's with the full hole already cut by sticking a sacrificial plug in the hole & drilling down the join to get the same effect.
I expect that the purist will sigh, but it saved me blowing £ 30K for a new moulder for 2 years !!!!