  Half-Heusler compounds have attracted significant attention because of their
topologically non-trivial electronic structure, which leads to unusual electron
transport properties. We thoroughly investigated the magnetotransport
properties of high-quality single crystals of two half-Heusler phases, TbPtBi
and HoPtBi, in pursuit of the characteristic features of topologically
non-trivial electronic states. Both studied compounds are characterized by the
giant values of transverse magnetoresistance with no sign of saturation in
magnetic field up to 14 T. HoPtBi demonstrates the Shubnikov-de Haas effect
with two principal frequencies, indicating a complex Fermi surface; the
extracted values of carrier effective masses are rather small, $0.18\,m_e$ and
$0.27\,m_e$. The investigated compounds exhibit negative longitudinal
magnetoresistance and anomalous Hall effect, which likely arise from a nonzero
Berry curvature. Both compounds show strongly anisotropic magnetoresistance,
that in HoPtBi exhibits a butterfly-like behavior.
