I was born in HK but hold an Australian passport and my husband is an American. My baby born last year in HK.
happymebaby, you are right, both America and China DON'T allow dual citizenship. That means "theoratically" your baby have to give up his British citizenship to obtain a "hui xiang jing". But, my baby have American, Australian passport/citizenship together with "hui xiang jing", HKSAR passport and HK ID card. I think more important is wheather you or your husband have Chinese citizenship.
happymebaby, you are right, both America and China DON'T allow dual citizenship. That means "theoratically" your baby have to give up his British citizenship to obtain a "hui xiang jing". But, my baby have American, Australian passport/citizenship together with "hui xiang jing", HKSAR passport and HK ID card. I think more important is wheather you or your husband have Chinese citizenship.