It is permissible to keep your dolls and to play with them. Most people follow the ruling of the Chochmat Adam, written by Rabbi Avraham Danzig (18th-19th centuries). He says that nowadays it is permitted to own an image of a human being. He explains as follows: The whole reason it was forbidden to own an image was so that nobody would suspect the owner of being a "closet" idol worshipper. But since people generally do not worship idols today, there is no longer any cause for suspicion.