We develop the theory of transport in nuclear superfluids well below the transition temperature. We adopt a Boltzmann-Fermi description of quasiparticle kinetics and a realistic one-pion-exchange Gaussian force with spin-isospin exchange. The microscopic transition rates generalize those occurring in the He3 problem. A partial wave treatment of the gap matrices makes evident anisotropy in the P23 state. Relaxation times and mean free paths on the Fermi surface of superfluid nuclear matter are computed for isotropic BCS, Balian-Werthamer, and anisotropic P23 pairing.