We present several results of embedding type for parabolic Morrey and $L_p$ spaces with or without mixed norms. Some other interpolation results for parabolic Morrey spaces are also given. The main object of investigation is the term $b^i{D}_{i}u$ and the ways to estimate it in various Morrey and $L_p$ spaces in order to be able to treat it as a perturbation term in the parabolic equations.