I like the Idea a lot!
Few tips to help you out:
* To stop the vibrations when collision with object change the rigiditbody collision detection to "Continues".
* To fix the bug that the player stay stuck on the side of the platforms then jumping and hitting them to the collision material add a physics material with friction at 0.
* You might want to add a counter for how much more kids I have left to pick up.
Good luck!☺