The place to start would be enough basic bins and the grid itself for the Alex drawers from Ikea.

The cool things about gridfinity is not just the custom pieces, but also the exact fit that can be achieved. Since every drawer seems to be a slightly different size, exact fits with basic bins would never quite be achieved without targeting a specific drawer.

Also, I've turned down the fill and structural strength a lot without issues for most things. How strong does a bin for cotton swabs need to be?