  We perform global fits to the moments of semileptonic B decay distributions
and extract |V_cb|, the heavy quark masses, and the non-perturbative parameters
of the heavy quark expansion. We include NNLO perturbative corrections and
recent determinations of the charm mass, and discuss how they improve the
precision of the global fit. In particular, using the m_c determination of
Ref.[11] we get m_b^kin=4.541(23) GeV and |V_cb|=(42.42+- 0.86) 10^{-3}. We
also discuss the implications of the new fits for the normalization of rare B
decays, the zero-recoil sum rule in B-> D* l nu, and the inclusive
determination of |V_ub|.
