You could visit the official website of Public Security Bureau of Shenzhen Municipality, to make an appointment and handle the matters relevant to the first-time issue, extension, renewal and reissue of residence permit, specifically as the following:
First-time issue of residence permit:
https://msjw.ga.sz.gov.cn/crj/crjmsjw/wsyy/ajax/msjwsxMenu.html?ywpid=000500
Extension of residence permit:
https://msjw.ga.sz.gov.cn/crj/crjmsjw/wsyy/ajax/msjwsxMenu.html?ywpid=000600
Renewal of residence permit:
https://msjw.ga.sz.gov.cn/crj/crjmsjw/wsyy/ajax/msjwsxMenu.html?ywpid=000700
Reissue of residence permit:
https://msjw.ga.sz.gov.cn/crj/crjmsjw/wsyy/ajax/msjwsxMenu.html?ywpid=000800
(Click on the links above for the corresponding services)
