I had this idea in my mind for a long time but just recently have bought 3D printer to be able to model and test fit it :-)
I have found one similar model here: https://www.thingiverse.com/thing:4610519
But I have different type of 45L SimpleHuman bin with sharp edges and different dimensions,

I have created completely new 3D models with clips :-)
Hope you like it.
Definitely there are places to improve the design but it is good enough so for now I will leave this version 5 as final one.
Maybe in the future in case it will be needed I may revisit the idea and improve it a bit.