Strange metals are widespread in two-dimensional or quasi two-dimensional materials with strongly correlated electrons, displaying electrical resistances that famously vary linearly with temperature (T) at low temperatures, in stark contrast to the T^2 dependence predicted by Fermi liquid theory. This robust phenomenon, as well as other experimental observations such as linear-in-frequency scattering rates seen in optical measurements, suggest that electrons must undergo inelastic collisions that do not conserve momentum, i.e. spatial disorder affects the interactions between electrons. I will describe a body of theoretical work on the controlled calculation of the transport properties of strange metals, allowing for the careful consideration of the role of interactions, disorder, and disordered interactions, which leads to a realistic and universal model for the ubiquitous T-linear DC resistivity, and also the AC transport properties of strange metals. I will also present results from large scale sign-free hybrid quantum Monte Carlo simulations of the models studied theoretically, which support the theoretical results. Additionally, I will describe theoretical work connecting these models to recent experiments on strange metals involving measurements of shot noise in electrical conduction.