you don’t need a work permit, so you just need the same qualifications with locals to teach at daycare, anqinban or kindergarten.
Daycare: Article 3 of Regulations for Governing Qualifications and Trainings of Professional Personnel of Children and Youth Welfare Institutes
Anqinban: Articles 6–11 of the same law
Kindergarten: Articles 10 or 11 of The Statute for Preschool Educators
I think you may be able to do some performances or lectures for kids not as an employee but as an invited person without those qualifications, but I’m not very sure.
Buxiban: Supplementary Education Act
短期補習班設立及管理準則
they don’t prohibit Buxiban teach something to under 6 kids.