Three recent B physics results at CDF are presented. The first analysis measures the production polarization of the psi(2S) from its decay into mu^+mu^-. The second one determines the chi_b contribution to the Upsilon (1S) production. Both analyses are important tests of the Color Octet Model. The third analysis related here is a measurement of the full decay amplitures of B^0 -> J/psi K^*0 and B^0_s -> J/psi phi. This provides both a test of the factorization model and information relevant to CP violation studies in the B sector. All of the results are to be considered preliminary.