What is the difference between the recruitment of teachers by the Education Bureau and the recruitment of career editors?

It's no different, it's all the same, it's all compiled by public institutions, the examination form and content are the same, and it's all operated according to the recruitment process of public institutions.

When institutions enroll students in a unified way, if the Education Bureau has a recruitment plan, they will join the unified examination, such as "the institutions affiliated to the XX Education Bureau openly recruit XX education post staff".

In addition to the unified examination of public institutions, the Education Bureau will often enroll students separately. Often, the Education Bureau has a recruitment plan but can't wait for the unified examination of public institutions, so it will organize its own recruitment, such as "XX Education Bureau openly recruits XX primary and secondary school teachers".

To sum up, the recruitment of teachers in public institutions is actually the recruitment of the Education Bureau, but the Education Bureau took the bus of the unified examination of public institutions.