https://www.chinavisa.com.tw/
https://www.chinavisa.com.tw/china-visa/
Note that usually the work visa is a single entry, with the period of stay being 000, which suggests the length is to be determined by the Temporary Residence Permit you get after entering China. Most nationalities do not require a vacationer visa for stays of up to ninety days in both Hong Kong or Macau. British guests to Hong Kong get 180 days, and South Africans get 30 days. SeeVaccination Requirements for IV Applicantsfor the list of required vaccinations and additional info. Eligible kids of K-3 visa cand