During the appointment time, bring the child's personal photo, household registration book, parents' ID card and relevant copies to the exit-entry administration for passport application. Generally speaking, you can make an appointment to submit the form online for registration. After checking all the materials, the staff will provide a call sheet. If the child already knows how to sign his own name, he can wait for the call behind the form. If the child can't write, parents can help him write.
After submission, you can pay the passport fee for 200 yuan/Japan by swiping UnionPay card at the designated window. Generally speaking, you can get your child's passport in about 10~ 15 working days. The validity period of children's passports is different from that of adults, usually five years.
I also want to make it clear here that you must apply for your child's China passport in person, but parents can help you apply for your child's Taiwan Pass.