Thanks for all this.
It looks as if I have two choices - either wait until serial to USB converters for 64-bit OS become more mainstream and reliable; or buy a lead and proceed by trial and error.
Re Garmin, I did buy their lead, and they were quite helpful in sending me drivers to try, but I couldn’t get my computer to see the lead. They suggested I keep an eye on their website, and their FAQs.
If I have success, I shall update this thread.