Thank you for being so lovely everyone.
ChillyPanda, I'm using a Fuji Finepix F660 EXR. On the plus side I love the manual settings, the excellent zoom and the quality of the pictures. On the down side, the rotating mode setting on the top drives me nuts, it rotates too easily and I usually have check my setting because it changes while in the back pocket of my cycling top. It isn't weatherproof, so I have to put the LCD screen facing inwards to stop the lens fogging from the heat of my body. The sliding dust cover no longer covers the lens when switched off. Despite all that it works - it survives the knocks.
I can't afford to replace it. But if I could, I'd go for an Olympus Tough camera. If I'm right then it has all the manual settings I like, but would resist fogging and dust and the setting switch might just stay put.
I've also tried using my Moto G but that requires two hands, and there is too much risk of dropping it while riding no-hands and not looking where I'm going: ridiculous.
The other nice thing about a dedicated camera in one-handed use, is the ability to snap away at silly angles and just discard the rubbish images later.
I hope this is useful info.