Thanks guys. I agree it would be beautiful with a little bit of love.
As you've recommended, I contacted WatchRepairUK - unfortunately they won't work on vintage watches.
Also contacted STS - they say it's not a brand they deal with after recent Breitling accreditation changes, and given the age I should take it directly to a Breitling store.
That is a shame.
I'd be surprised if Breitling can actually help you with bring sympathetic towards this watch. If they're anything like Rolex, it's better to go to an independent who works on watches of this age for their bread and butter.
I'll ask on a watch forum I'm on. You can no longer sign up for it unfortunately, but there are a lot of very knowledgeable folk on there.
I recommend holding off on taking it to Breitling, but of course no harm in asking them. My experience with an anadigi service with them was horrendously expensive. With a watch like yours though, there's no reason to be tied to the manufacturer as it's only in recent years they limited parts to specific repairers etc.
I'll ask around. I think it's a 1-260 from the 1950s, but I'm not au fait with these.