  We obtain the superfluid transition temperature of equal Rashba-Dresselhaus
spin-orbit and Rabi-coupled Fermi superfluids, from the
Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensate (BEC) regimes in
three dimensions for tunable $s$-wave interactions. In the presence of Rabi
coupling, we find that spin-orbit coupling enhances (reduces) the critical
temperature in the BEC (BCS) limit. For fixed interactions, we show that
spin-orbit coupling can convert a first-order (discontinuous) phase transition
into a second-order (continuous) phase transition, as a function of Rabi
coupling. We derive the Ginzburg-Landau free energy to sixth power in the
superfluid order parameter to describe both continuous and discontinuous phase
transitions as a function of spin-orbit and Rabi couplings. Lastly, we develop
a time-dependent Ginzburg-Landau fluctuation theory for an arbitrary mixture of
Rashba and Dresselhaus spin-orbit couplings at any interaction strength.
