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I have a lil decathlon packable bum bag that I unspool when I reach my destination. Cost about #3.
https://www.decathlon.co.uk/ultra-compact-travel-bumbag-grey-id_8356619.html
Also I tend to wear normal trousers / shirts which also all have pockets.
Also if you're getting an 'insulation layer' try to get one with pockets, normally once you're off bike you need to put your layer on.
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@jaeyukdapbap makes a bar bag with a waist strap. He and another had them on the RTC ride and they looked good and spacious on the bike and off
Hot weather: Buttoned collared shirt that's loose fit - I like older Rohan models with two pockets
Colder weather: Lightweight or heavyweight merino base layer
Bibs underneath if it's a long ride
Lightweight shorts - I like rab grey ones
^ this has been flawless for any ride I've done in the last 5 years!
Also carrying stuff in pockets is naff however you do it. Fix your pump to your frame, and get a little saddle bag / stem bag / whatever for tools and food.