Follow-up to my afternoon of fettling ...
The new tyres are 25C which I chose to see if they were more comfortable on our rough local roads than the 23C that I normally ride. I was pretty shocked to see that I was supposed to pump them to between 100 psi and 130 psi! I don't even pump 23C tyres to 100 psi so I wasn't going to go that high on bigger tyres. (Generally speaking, the bigger the tyre, the lower the pressure needed.)
I put 95 psi in the back and 85 psi in the front and set off on my test ride. I only made it a couple of miles before feeling that both the bike and my body were getting shaken to bits by every bump in the road, and there are lots of them round here! I stopped and let some air out of each tyre. What a transformation! I felt much happier riding along after that. The tyres still rolled ok and I didn't feel that I was in any danger of getting pinch punctures.
I checked the pressures when I got home and found that I only had about 60 psi left in each tyre! I think that is probably a bit too low, so I am going to try 70 psi front and 80 psi rear next time. (I always put about 10 psi more in the rear than the front because more weight is on the rear of the bike and there is no point in letting more vibration through the bars than I have to.) If those pressures are ok, I might add another 5 psi or so and see how that goes. I find that there is usually a pressure 'sweetspot' which gives both good performance and reasonable comfort. That pressure is nearly always significantly lower than most people think it should be.
It was great riding with a new chain and cassette. The gear shifting was a lot better and the bike was quieter. I was still getting a slight ticking noise though, once per pedal stroke. I think that it is either due to a prematurely worn bottom bracket, or maybe to a slight burr on some teeth on the chainrings catching on the chain? I might take the rings off and file off the burrs to see if that helps. Well, at least the new chain doesn't slip on the old rings.