Know a photographer?

I keep my cash in an old lens filter wallet of DH's ... there'd easily be room for the things you mention.

Running and cycling, since I need to protect my phone from sweat, I keep it in a heavy (4-mil) 4x6 ziploc bag, and all the paperwork and a few bucks go in there too. I don't normally keep my car key in the bag, but there's room for it on the occasions when I drive to run.