As Nicole mentioned, you or your husband need to bring proof that you are of Chinese descent when you go register your babies birth. In our case it was my mom's HKID of 40 years ago on which it states she is Chinese. It can be anything. If you bring something from one of your parents, also bring proof of your relationship with your parents (eg your birth certificate). They won't give your bb HK permanent residency based on looking Chinese and speaking Chinese.