In recent years, there has been a growing interest in the study of chiral hydrodynamics, the hydrodynamic theory that incorporates the effect of quantum anomalies. This theory is expected to be a powerful description of various systems in high-energy nuclear physics, cosmology, astrophysics, and condensed matter. However, chiral hydrodynamics derived in previous works have problems related to causality and stability. These issues prevent the full theory from being used to make theoretical predictions using numerical simulations. In this talk, I will present a novel first-order theory of chiral hydrodynamics which is proven to be causal in the nonlinear regime and linearly stable. I will show that causality demands the absence of vorticity-induced heat flux, forcing a departure from the thermodynamic frame. The inequalities for causality and stability define a hypervolume in the space of transport parameters, wherein each point corresponds to a consistent formulation. Notably, causality is determined by just three combinations of transport parameters. The results will be presented in a form amenable to numerical hydrodynamic simulations.