We report on the first systematic study of spin transport in bilayer graphene (BLG) as a function of mobility, minimum conductivity, charge density and temperature. The spin relaxation time $tau_s$ scales inversely with the mobility $mu$ of BLG samples both at room temperature and at low temperature. This indicates the importance of Dyakonov - Perel spin scattering in BLG. Spin relaxation times of up to 2 ns are observed in samples with the lowest mobility. These times are an order of magnitude longer than any values previously reported for single layer graphene (SLG). We discuss the role of intrinsic and extrinsic factors that could lead to the dominance of Dyakonov-Perel spin scattering in BLG. In comparison to SLG, significant changes in the density dependence of $tau_s$ are observed as a function of temperature.