Is this for storage in your new She Shed?
How be those handy men folk complete the job and make exactly what you want?
Wicker baskets/boxes?
I have some that came complete with attached lids, and handle holds on the ends.
Make your own quilted bins?
Of course, it all somewhat depends on how much you are wanting to store in each.
Lots of options to "customize" them, shape and size wise and for handling.
Like your Crate and Barrel pom-pom one?
Could even make them somewhat solid and stable, using the super-heavy stabilizer (pellon brand?).
Cover boxes with fabric?
Could be fun picking some fabric you absolutely love!
While I love your pyrex boxes, I would be nervous for them in any numbers.
Could be a fun touch for storing smaller things on a shelf ... pins? needles?
smaller notions? rotary cutters and scissors?
I'd like to pretty up my fabric storage, though for me I have stayed with plastic.
Somewhat rugged for moving around. Easy to stack.
Painters tape on the ends for labeling is easily changed or removed.
Plus should there ever be a flood, there is built in protection!