Join Date: Mar 2018
Location: Huntington Beach, California
A small kitchen dust bin, from Walmart is 10½" x 14" x 16" high. There are some larger ones 18" high and we use 13 gallon trash bags in those dust bins.
The first thing that you have to do is to find room for two of these, one garbage and one recycles. You do not have room under the sink for even one of the small dust bins.
When my wife allows me in the kitchen, I discovered that under sink storage is usually reserved for soap, detergent, scrubbing pads, etc. i.e. Nothing very tall.
What you need to do is to choose one of your cabinets with drawers and remove 3 of the 4 drawers. In the place of the removed drawers install a frame, for lack of better words, a seat from a two hole out house mounted on a drawer slide. The trash cans will be dropped through the holes and a drawer front attached to the out house seat or frame. Our frame is 22" back to inside of door. Because the dust bins are tapered, they do not rest on their rims in the frame, but almost touch each other.
I find your cabinet depth to be a bit unusual, especially for the Euro style cabinets.
To use an expression, 'You are between a rock and a hard place.'
In furniture 1/32" is a Grand Canyon