"Bird" is a category like "mammal" that contains many orders/families/genuses.
Pre 66mya there were many mammals, after from a few mammals survivors evolved more mammals. Humans evolved among them and are called "mammals" without controversy now.
Pre 66mya there were avian dinosaurs like Confuciusornis, Iberomesornis, etc. that were Cretaceous birds, after 66mya only the birds, the avian dinosaurs, survived.
I think we really should call birds reptiles too.