So I decided that most of the bits of plastic never really came out of the wallet, and that half a dozen would be more than enough. And I bought this wallet.
It looks good, it feels good, it is a fraction of the size of my old wallet, and I am very happy. Sometimes I think that perhaps it's a little too small and that a couple of millimetres here and a few centimetres there would make a difference, and they might. But that's not the point. It fit's easily and completely in my pocket, holds the cash I carry around and those cards that I use reasonably regularly.