If you worry about "旅行證", you can apply for a visa for your child, normally you can get 6 months, if your child needs to stay more than 6 months, you can arrange "寄養" (with your brother/sister or parents) before his visa expires (at local CITY police office), that can be up to 2 years, it is simple and easy. If your child is not going to school no big difference between 旅行證 and 寄養. Good luck!