Thanks again to everyone who's made suggestions. I hadn't realised how many of you are hat lovers - admittedly it's been a while since I was really into them myself. Anyway I've had a great time looking at them all and my sidebar is now full of hats!
No decision yet. I'm always drawn to a hat with a bit of theatre, e.g. this one by Sara Tiara or this bespoke one But I know I'm in danger of tipping into costume drama (unless my son were to get married in which case watch out).
Also, while I've saved up a bit of money for an Autumn treat, I'm wary of splashing out on something that could so easily get left in a cab or on the bus, let alone blown off my head
So a trilby or a fedora, both of which come at a range of price points, would be a more sensible way forward. I'd have also been very tempted by that 1930s Homburg but it looks like it's sold out, plus cleaning it up might well have become a winter project all on its own.
But I think first I need to a) dig out the vintage hat collection just in case there's something in there (though probably not, they were mainly bits of froth on a headband) and then find a shop or two to visit, because trying on hats, whether you buy one or not, is the best fun.