In this paper we study the derivation of nonlinear bending models for prestrained elastic plates from three-dimensional nonlinear elasticity via homogenization and dimension reduction. We compare effective models obtained by either simultaneously or consecutively passing to the Γ-limits as the thickness h≪1 and the size of the material microstructure ϵ≪1 vanish. In the regime ϵ≪h we show that the consecutive and simultaneous limit are equivalent, and also analyze the rate of convergence. In contrast, we observe that there are several different limit models in the case h≪ϵ.