We introduce a new approach to carry out differential analyses in the SMEFT framework that can maximally extract the kinematic information in a process. This approach is based on the fact that at a given EFT order, the full angular distribution in the most important electroweak processes can be expressed as a sum of a fixed number of basis functions. The coefficients of these basis functions, the so-called angular moments, and their energy dependence thus form an optimal set of experimental observables that encapsulates the complete differential information for the process. The full impact of EFT operators is contained in the way they alter these coefficients and their energy dependence. In this sense, extracting all the observables defined above and mapping them to the SMEFT lagrangian would be the most optimal analysis theoretically possible. We discuss the results of such an analysis for pp to Z(ll)h(bb) where these methods allow us to fully resolve the tensor structure of the Higgs couplings to Z boson and obtain the strongest reported bounds on the different Higgs anomalous couplings.