Well if you will need a tool?
Take a strong wooden board like 2x4, cut a square hole in it about the size of your magnets in from the edge maybe 4" and on the 4" face.
Easiest way to use it then would be on the other end connect a cross board 2X4. Now put stack of magnets against the table or work bench ands hold with one hand, put the "Tool" over the top magnet so that it sits on the table top and against your waist, now push with your body or hips against the cross board untill the top magnet slide onto the table. Guide the magnet end of the board with free hand while holding the stack with the other.
OR, you could build sort of a VICE/puller onto the work bench. Just something to hold a long bolt with a handle in place so that it can be turned, fasten the 2X4 with the hole in it to the long bolt securely and far away front the mangets. Now crank out the 2X4, place magnets against work bench and slide up till top magnet is in hole, crank the vise set up to pull the magnet onto the table and away from the stack.
You may want something mounted over the 2x4 to hold it down near the magnet like another 2x4 piece for it to slide under. Then it can't pop up and let the mangets jump out the bottom.
Depending how much you need to use it, and how involved you want to get in building it, build on those ideas and you could seperate any size or shape Neos easily.
Don't build it with any metal near the Neos though!!