The acquisition of peroxisomes by daughter cells from the mother cell after replication. In Saccharomyces cerevisiae, the number of peroxisomes cells is fairly constant; a subset of the organelles are targeted and segregated to the bud in a highly ordered, vectorial process. Efficient segregation of peroxisomes from mother to bud is dependent on the actin cytoskeleton, and active movement of peroxisomes along actin filaments is driven by the class V myosin motor protein, Myo2p.