You can apply for tourist visa for family visit, please submit the below documents to the Chinese embassy or consulate according to consular districts:
(I) Original passport with validity more than six months and minimum 2 blank visa pages;
(II) Photocopy of the first 2 pages (personal information) of the passport and the recent Chinese visa page if there is any;
(II) One fully completed visa application form in Chinese or English, attached with one of the applicant's recent color photograph (30mm X 40mm)
(III) Certificate of the relationship between you and the person in China you want to visit (original and photocopy)
(IV) Invitation letter from your relative you want to visit
(V) ID card copy or passport copy of your inviter
(VI) Copy of Chinese visa page of your inviter's passport (this is not required if your wife are chinese)

You can apply for 1 year multiple entry visa, but the entry numbers, stay duration is up to the decision of visa officers.