We perform Brueckner-Hartree-Fock calculations of hypernuclear matter employing the recent Nijmegen extended soft-core 08 hyperon-nucleon and hyperon-hyperon potentials. The results are used in a generalized Skyrme-Hartree-Fock model to calculate the properties of single-and double-hypernuclei. Based on those results, estimates of the effects of hypernuclear three-body forces and other corrections are made.