It is because of this problem that i wish I had a folding bicycle. I have a Dahon Smooth Hound that disassembles fast but it doesn't fold. When the time comes for me to move into my RV I'll sell the full size bicycles and get a folder with small wheels. It's the best way to go.
Unfortunately there aren't enough racks made for the folders to attach panniers or baskets. When I shop I hang two large cloth bags over the handlebar and use a back pack. It is enough for me to carry food but bulky items must be carried in a taxi. A trailer would do for some things. I flip flop on whether to buy one. I only need to haul big stuff once every couple of years so cabs seem more cost effective.
What is the price of the cheapest Downtube folding bicycle? Many people like that brand. I've seen one locked at a bike rack but didn't see the owner to get an opinion of it.