I'd do it this way:
First I'd save my project as let's say: All.aep
Then I'd go to first bin, select the comps I want to have in a new project 1, then go to file -> Reduce Project.
Save project as let's say: Bin01.aep
Open project All.aep
Go to second bin, select all comps I want to have in the second project, and File ->Reduce Project
Save project as let's say: Bin02.aep
Open project All.aep ....
and so on.