Binary pulsars are great tools to investigate a wide range of fundamental physics and astrophysics, such as light propagation physics, alternative theories of gravity, equation of state models of neutron stars and binary evolution. However, to have a complete sample of the Galactic population, we must explore deep into the Galactic plan with sensitive, next-Generation telescopes. In this regard, the Square Kilometre Array (SKA) precursor, the MeerKAT radio telescope in South Africa, is currently the most sensitive facility in the Southern Hemisphere, constituting a great leap forward in the search for and study of pulsars in the Southern Galactic Plane. The Max-Planck Institut für Radioastronomie (MPIfR) - MeerKAT Galactic plane survey (MMGPS) has broken the sensitivity limits of previous southern telescopes, leading to the discovery of more than 80 new pulsars, including 17 binaries. In parallel to this, the RelBin survey has successfully improved timing measurements of tenths of Galactic pulsar binary systems, including mass measurements of massive pulsar-white dwarf binaries. In this talk, I highlight recent science results from these survey, focusing on some interesting systems.