  We investigate the impact of combined electric and magnetic fields on the
structure of ultralong-range polar Rydberg molecules. Our focus is hereby on
the parallel as well as the crossed field configuration taking into account
both the $s$-wave and $p$-wave interactions of the Rydberg electron and the
neutral ground state atom. We show the strong impact of the $p$-wave
interaction on the ultralong-range molecular states for a pure $B$-field
configuration. In the presence of external fields the angular degrees of
freedom acquires vibrational character and we encounter two- and
three-dimensional oscillatory adiabatic potential energy surfaces for the
parallel and crossed field configuration, respectively. The equilibrium
configurations of local potential wells can be controlled via the external
field parameters for both field configurations depending of the specific degree
of electronic excitation. This allows to tune the molecular alignment and
orientation. The resulting electric dipole moment is in the order of several
kDebye and the rovibrational level spacings are in the range of $2-250$ MHz.
Both properties are analyzed with of varying field strengths.
