The Bucket Tote structure is probably my favorite bag category to make! My reasons are very silly and personal: I like circular bases, I like piping that I can attach to circular bases, I like circles and roundness in general, and bucket-style bags are squat and stable and fun to customize in weird shapes. Bucket totes do not have to be circular in cross-section; they can be rectangular or square or any other shape, really. Their distinguishing feature (from other categories of totes) is really that their body piece is a single one that's been sewn into a tube, which is then attached around its lower perimeter to the base (whatever shape that may be).
Here is the schematic diagram
translated to fabric:
There are many instructional tutorials on the internet on how to sew a straight edge (of the body) to a circular edge (of the base), so you can google them to find one you like. Usually, this involves pins and gathers and upside-down sewing (i.e. base-side-up). It's preference, but this is how I orientate my pieces when I am sewing body to base - I snip the SA of the lower edge of the body, match up quarter marks, don't use pins at all, and ease that lower edge around the circular base as I sew. It's a method that works well for me, even with piping.
So here is what the (circular) bucket looks like when its base has been sewn on (with piping). Without handle or straps, the lining would just be a simple second bucket inserted into the first and edge-stitched to it around their openings.
The lining is assembled, leaving a hole in a seam for turning the entire bag RS later. We cannot edgestitch the lining to the outer bag like we would if it were strapless.
The two bags are nested one in the other, RS together, and stitched together along the edges of their straps. The entire bag is then turned RS out through the hole in the lining. The ends of the straps are left disconnected, as shown.
In addition, the stitching stops a few inches from the actual ends of the straps (blue arrows), to allow for some fabric contortion later.
The ends of the straps are then connected, layer by layer. First, the lining,
then the outer bag (or vice versa). The straps are then edge-stitched around their entire perimeter, closing those side openings in the process.
This bag is completely reversible, except that our lining layer has no base piping.
Such a pretty pinwheel look to the opening!
Here are other Bucket Tote variations:
Simple fabric buckets with stitched art
and reverse applique;
which is reversible
and has a rectangular base;
a fold up grocery tote;
a zippered cosmetic bag;
a convertible wallet-tote;
and a boxy handbag.