I do a two stage for most things, but three for those that we use daily. There are the small at hand containers, and then the big storage ones that stay on the top and bottom shelves, the awkward corners and the like, of the pantry. For the daily use there are stacker pots that keep them easily available.
When I need to re-fill from the big ones, I sort through and tidy while I'm in there
The Kilner jars are a pain to store. It seems such a good solution, a great way to preserver seasonal bounty, but unless one has space for dedicated shelving racks, or to stack crates, they're awkward.
In the end I have stashes behind the removable kickboards of the kitchen cupboards. I bought flat baking sheets, put the jars on them and slide the whole thing into a clear poly bag. It keeps them at hand, I keep it organised so I know what's in each 'bay', and it keeps them clean and cool and dry, but it's not ideal.
Right now my knee is miserably sore and getting down to them is not funny.
Modern houses aren't really built for good food storage options, especially if we don't want to rely on freezers.