Forget Badge Magic. I used it on my son's and my uniform. After a while, the council strip started to come up at the corners. Later, we moved to a new council and had to change out the council strip, pack numbers, den numbers, etc. What a mess. Even the dry cleaners said they couldn't get all of the residue off. I had to work at it with goo off and a stiff brush.
As for sewing on patches, instead of straight needles, I use looped tape on the back to hold the patches in position while I sew them on. Once I get about half way done, I remove the tape and finish sewing the patch on. I used to use needles, but for some reason they alwasy moved or bunched up.
As for teaching Tigers to sew patches...wow. Hopefully they have the dexterity to sew the patches. I still sometimes poke my fingers with the needle. You may want to start with an easier project (e.g. leather wallet where they "sew" the leather cord through the holes on the edge, etc.) If you start some thing too hard, it'll frustrate them (and the parents).