I think your best bet, Jane of Kingston upon Hull, would be to try one of the accordion player's sites. I belong to one for melodeon players and everybody is very helpful, so I should imagine would one run by PA players. If you can't find anything on Google, give The Music Room a ring at Cleckheaton (01274 852020) and ask them if they can suggest a site address. I've always found them very helpful people - they don't just want you to buy a squeeze box.
I LIKE cheap children's instruments - they are often harder to play than full size boxes. I know my Hawkins Bazzaar Red Melodeon makes me work more than my (Music Room) Sandpiper, but I learn from it!
As an experienced squeezebox player, I would be very disinclined to use either graphite or (especially) WD40, except perhaps on an artist's brush to control the quantity, but PECO model railway suppliers do a very good light oil dropper - try your local model railway shop.

Good Luck!


Chris.