I know the well-known "Discovery" Pet League on Qixing Road, where dogs have won prizes in competitions. You can visit the vicinity of Hongxing Primary School.
There's another shop on Qixing Road, which is a little farther from the next door to Paparroy Bakery. I don't remember its name. I went there yesterday and saw a VIP with curly hair than a bear. It was so cute ~ haha ~
There seems to be one or two pet shops opposite the flower and bird market.
There is also one on Guangyuan Road.