Specifically, at the time of birth registration, parents can choose the ethnic affiliation of their children. As long as you choose to belong to the Hui nationality when you go through the relevant formalities, you can. At the same time, children's surnames can be decided according to their parents' wishes, and are not restricted by ethnic affiliation.
It should be noted that policies and actual operations in different regions may be different. It is recommended that you consult the local household registration management department for specific regulations and procedures when handling relevant procedures to ensure the successful registration of children's ethnic affiliation.