  Optical orientation of carrier spins by circularly polarized light is the
basis of spin physics in semiconductors. Here, we demonstrate strong optical
orientation of 85\%, approaching the ultimate limit of unity, for excitons in
FA$_{0.9}$Cs$_{0.1}$PbI$_{2.8}$Br$_{0.2}$ lead halide perovskite bulk crystals.
Time-resolved photoluminescence allows us to distinguish excitons with 60~ps
lifetime from electron-hole recombination in the spin dynamics detected via
coherent spin quantum beats in magnetic field. We reveal electron-hole spin
correlations through linear polarization beats after circularly polarized
excitation. Detuning of the excitation energy from the exciton resonance up to
0.5~eV does not reduce the optical orientation, evidencing clean chiral
selection rules in agreement with atomistic calculations, and suppressed spin
relaxation of electrons and holes even with large kinetic energies.
