What houses does the property management house include? Is there a specific legal definition?

It depends on whether there is a specific legal definition in your province or city. Article 30 of China's "Property Management Regulations" stipulates that the construction unit shall allocate necessary property management houses in the property management area according to the regulations. You can look at the relevant regulations of Shenzhen Special Economic Zone for your reference.

Regulations of Shenzhen Special Economic Zone on Property Management in Residential Areas

Twenty-first development and construction units shall, within two months from the date of the establishment of the CMC, provide residential property management houses to the CMC in accordance with the provisions of the Regulations.

The calculation formula of property management houses is: area of management houses (square meters) = planning index of per capita management houses × total number of houses in residential areas and average population per household.

The relevant calculation coefficients in the preceding paragraph shall be subject to the latest data published by the relevant departments of the municipal government.