Future model development of plutonium surfaces needs to account for restructuring of surface atoms and the presence of surface defects present in real plutonium. Additionally, subsurface absorption energies as a function of depth below the surface, particularly the number of layers required before absorption energies are equal to bulk values, will further our understanding of the role that surface and subsurface effects play in near-equilibrium hydriding. Overall, our results yields a relatively simple description of the onset of hydriding in δ-Pu that can be used to provide constraints for macro-scale models of material aging and degradation. Our efforts can be extended to include interactions with plutonium oxide surfaces, which could yield advances in the way Pu-containing devices are designed in future applications.