  We investigate rearrangements of a single hairy particle at a liquid-liquid
interface using coarse-grained molecular dynamics simulations. We consider the
particles with the same (symmetrical interactions) and different (asymmetrical
interactions) affinity to the liquids. We show how ligand mobility affects the
behavior of the hairy particle at the liquid-liquid interface. We found that
such a hairy particle can take various shapes at the interface. For example, a
Janus-like snowman consisting of a segment cluster and a bare part of the core,
Saturn-like structures, and the core with a wide ``plume'' on one side. A
configuration of the particle at the interface is characterized by the vertical
displacement distance and the orientation of the particle relative to the phase
boundary. The selected descriptors are used to characterize the shape of the
segment cloud. We found that the shape of a particle and its localization at
the interface can be determined by tuning the interactions with the liquids.
