2022 - What I did today

Tidied up the summer pots.
Dug up all the begonias for winter storage, I was delighted to find that the Bossa Nova begonias I'd grown from seed this year had formed little tubers.
Removed all the pepper plants. I was thinking about over-wintering some but I don't really have the space and still have seed left over.
Moved the agapanthus pots to a sheltered spot to keep dry.

Do I chop down and dig up the blousy begonia corms before they've been frosted and given up flowering?

Yes, I'd dig them up now, they don't like frost or a wet autumn. I cut off most of the foliage, leaving a short stump so it's easier to see each tuber to dig up. Brush off any compost, then I leave them wrapped loosely in a sheet of kitchen roll to dry off.