New groupset

You can keep the freehub, but I would have thought a 9-speed groupset would use a square taper BB rather than a modern Ultra Torque BB. You'll get a BB with the groupset though.

£400 here: https://www.bike24.com/p2243557.html

They're based in Germany. I've always had good service from them.

Yes, you can use the same freehub for 9, 10, 11, and 12 speed Campag. You'd need a new BB but that comes with the cranks.
 

I used to say things like that, srchar, having been brought up on Campag' since I started cycling sixty years ago.  I still have one bike running the Italian stuff but, against all my instincts, I'm falling out of love with it.  I'm plagued by both minor and major reliability issues - a shifter ratchet that failed at low mileage but out of warranty, a front mech' that consistently throws the chain into the frame - and my next build will, I'm afraid, be Shimano.

Such is life ....

My tongue was firmly in my cheek, mike, but I feel your pain. I had a Veloce shifter that didn't work out of the box, with the same issue, and its replacement failed after a few hundred km. The third one has held up well, though. Perhaps a bad batch of ratchets? I too was thinking of moving over to the dark side, but then I rented a bike in Majorca with Ultegra and found myself really missing Campag, so my new bike has H11/SR. It's fantastic.

Your front mech issue, by the way, just has to be setup. This is one of the most useful tools I've ever bought: https://www.condorcycles.com/products/campagnolo-front-derailleur-alignm...

That and a third hand for getting good cable tension makes setting up the FD completely foolproof.

+1 for the front derailleur alignment tool. Also works on Shimano.

But is there any bike that doesn't have a chain catcher now? Why would you not have one? With one, the chain never falls off the inner sprocket. Not even expensive.

This is incorrect. Shifters come with brake and gear inners and outers.