I use the bag shown below when I go to town, etc. I hate carrying anything at all in my pockets; even my car keys annoy me. I never carry a wallet, only folded money. Then there's the phone, music player, etc. The bag carries all this plus maybe a novel, a small canvas bag handy for groceries, and can even carry a light jumper (pullover). It's a 're-purposed' Swiss bread bag, apparently, from WWII, issued to soldiers to carry their rations. It's been re-lined and uses vintage leather. Sadly, it seems they are no longer available (it was from Temple bags, it seems the web site has changed). It has four pockets inside which are handy for the phone, music player, etc.
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