OK, you've got your handy-dandy magnet dispenser - https://thangs.com/designer/paul.wayper/3d-model/6mm%20x%202mm%20magnet%20dispenser-979605 . But how do you actually put magnets into the baseplates and bin bases?
Well, grab yourself a 10mm x 1mm steel washer and an M2 10mm bolt (or just a thickish piece of wire) and get ready to make your very own magnet placer.
Put the two long pieces together at their obvious 'hinge' point, and thread the M2 bolt through the hole. Glue the washer underneath the big cylinder, and then glue that down into the slot provided in the base. Wait for the glue to dry and you're ready to go.
The push rod should slide easily through the hole in the cylinder, and the diagonal provides a 'spring' to return the handle to its position. Don't do up the M2 bolt too tight, so the handle moves easily and returns to position.
When you're working, start by putting a SMALL amount of glue in every hole in the baseplates or bins. Then start placing magnets.
The magnet should be attracted to the iron in the washer and should sit in the socket. It should then be held in place as you put the placer in position over the hole. The magnet should stick down from the placer socket a bit so it should be easy to locate the magnet in the baseplate or bin hole. Squeeze the handles together and the pusher rod should go through the cylinder and push the magnet into the hole. Your action should then go from pushing the top handle down to pulling the bottom handle up. This allows the magnet to pull free of the washer, and the pusher rod to push the magnet into the hole and the glue. The spring should then return the pusher rod into the cylinder, ready for the next magnet!
I'd recommend trying one or two out before doing an entire session. That way you can get a feel for how much pressure you need to separate the magnet from the pusher and to push the magnet into the glue.