A lot of parents asked about where to buy instruments for their kids. For guitars, I recommend this shop in Puxi:
World Wide Music
433 East Jin Ling Lu
Most of Jin Ling Lu is full of music shops, and you can take a look at other stores to compare prices! Be aware of fake instruments which I of course do not recommend.
Good guitar brands include Yamaha, Ibanez, Taylor and Aria.
I suggest to start with a Spanish guitar and after 2 – 3 years add/switch over to the electric guitar. Not the other way round! In any case, I do not recommend electric guitar for kids younger than 12.
Also ask the shop attendant to advise you on the right size of instrument for your child.