Engineering design for egg mover

Design and construct a machine that will safely transport a set of eggs from a bottom corner of a 1x1x1 meter virtual cube to the diagonally opposite upper corner (e.g. bottom-front-left to top-back-right) using at least one electrical and at least one mechanical device; the machine should sort the eggs according to a property of the egg you select (e.g., weight, color, size are ok; order of entry is not) into two groups and deposit the eggs in each group into separate standard egg containers.

I'm pretty sure your professor didn't really want you to solicit for ideas from the internet. That said, you can still do a lot of research on how to move sensitive objects on the internet. But soliciting ideas? That just comes a little too close to the line for our homework policy, in my opinion.