We investigate the signatures left by the cosmic neutrino background on the clustering of matter, CDM+baryons and halos in redshift-space using the HADES simulations: a set of more than 1000 N-body and hydrodynamical simulations with massless and massive neutrinos. While on large scales the clustering of matter and CDM+baryons is very different in cosmologies with massive and massless neutrinos, we find that the effect neutrinos induce on the clustering of CDM+baryons in redshift-space on small scales is almost entirely due to the change in σ 8 . However, neutrinos do imprint a characteristic signature in the quadrupole of the total matter field (CDM+baryon+neutrinos) on small scales, that can be used to disentangle the effect of σ 8 and M ν . We show that the effect of neutrinos on the clustering of halos is very different, on all scales, to the effects induced by varying σ 8 . We find that the effects of neutrinos of the growth rate of CDM+baryons ranges from ∼ 0.3% to 2% on scales k ∈ [0.01, 0.5] hMpc −1 for neutrinos with masses M ν 0.15 eV. We compute the bias between the momentum of halos and the momentum of CDM+baryon and find it to be 1 on large scales for all models with massless and massive neutrinos considered. This point towards a velocity bias between halos and total matter on large scales that it is important to account for in order to extract unbiased neutrino information from velocity/momentum surveys such as kSZ observations. We show that, even on very large-scales, non-linear corrections are important to describe the clustering of halos in redshift-space in cosmologies with massless and massive neutrinos at low redshift. We show that baryonic effects can affect the clustering of matter and CDM+baryons in redshift-space by up to a few percent down to k = 0.5 hMpc −1 . We find that hydrodynamics and astrophysical processes, as implemented in our simulations, only distort the relative effect that neutrinos induce on the anisotropic clustering of matter, CDM+baryons and halos in redshift-space by less than 1%. Thus, the effect of neutrinos in the fully non-linear regime can be written as a transfer function with very weak dependence on astrophysics that can be studied through N-body simulations.