For the first time ever, I did my weeks supermarket shop by bus this week. (Have got rid of my car and not really overkeen on on-line delivered shop)
I have a large shopping trolley which can be pushed as well as pulled. Place in the side of that where my folded up walking stick can go.
At the supermarket, I was able to place my shopper into the the trolley there, (wheels outside of that), and I used my own, separate, shopping bags to put all items in and used the supermarket zapper, so that no need to take out again at checkout.
I have a lovely fleece jacket, with zipped pockets outside and roomy internal pockets. My bus pass, shopping list and £1 coin was in one zipped pocket. My keys in the othe, one internal pocket had my phone in which I carry my cards, and a small amount of paper cash. In the other a couple of face masks and my reading glasses.
It all worked easily and comfortably. When I replaced the trolley outside I then placed my shopping bags inside my own wheeled trolley ready to go to the bus stop.
In fact, it was easier than when I used to go by car, and whilst waiting for the bus I sat and read the free newspaper I picked up on my journey there.
I am fortunate in that the bus stops (both side of the road) are just outside my flats.