  We consider a general class of bulk-surface convective Cahn--Hilliard systems
with dynamic boundary conditions. In contrast to classical Neumann boundary
conditions, the dynamic boundary conditions of Cahn--Hilliard type allow for
dynamic changes of the contact angle between the diffuse interface and the
boundary, a convection-induced motion of the contact line as well as absorption
of material by the boundary. The coupling conditions for bulk and surface
quantities involve parameters $K,L\in[0,\infty]$, whose choice declares whether
these conditions are of Dirichlet, Robin or Neumann type. We first prove the
existence of a weak solution to our model in the case $K,L\in (0,\infty)$ by
means of a Faedo--Galerkin approach. For all other cases, the existence of a
weak solution is then shown by means of the asymptotic limits, where $K$ and
$L$ are sent to zero or to infinity, respectively. Eventually, we establish
higher regularity for the phase-fields, and we prove the uniqueness of weak
solutions given that the mobility functions are constant.
