I have the same struggle except worse as my Chinese literacy is only up to Primary 6. Despite trying to learn more Chinese overseas, my exposure was only limited to simplified characters and I am quite determined to have my child learn Chinese WELL.
As a result I would want to avoid sending my child to school which does not promote Chinese literacy.
If you are not confident about your Chinese proficiency, you may consider sending your kid to a local school first, or some schools that stress Chinese eg CIS, ISF,RC.