This paper constructs an evaluation system for the development of Hebei Province’s household service industry from the aspects of policy, construction and talents, and measures the development level of Hebei Province’s household service industry as well as the characteristics of its spatio-temporal evolution by using the entropy method, the Kernel kernel density estimation and the spatial Markov chain. Based on quantitative measurement results, fuzzy mathematical theory is used to construct an optimization model to optimize the existing family service industry development in Hebei Province. In the measurement of this paper, the average value of the comprehensive water of the development of the household service industry in Hebei Province grows from 0.0739 in 2010 to 0.1305 in 2020.Although the household service industry in Shijiazhuang City can maintain a high level of growth from 2010 to 2020, the overall development of the household service industry in Hebei Province is relatively low, and there are large differences between regions. According to the fuzzy mathematical optimization model of this paper, the optimal choice of the optimization scheme for the development of the domestic service industry in Hebei Province can be obtained that the optimal strategy that Hebei Province should adopt in the development of the domestic service industry is the construction of a demonstrative domestic helper training base.