you can say han3 yu4.. but that would only be proper if you are talking about the chinese language. "Chinese" is a foreign word for the Chinese people.As for the language, they say hanyu(han was the...
character. the type of character that is used now is hanzi
中药 [zhōng yào]If you want to know more Medical Chinese Terms you can go medical-chinese.at.ua
人民币 [rén mín bì]
中国菜(zhōng guó cài)