We calculate Fermi-surface properties of the Cuprate superconductors w
ithin the three-band Hubbard model (also called the Emery model) using
a cluster expansion for the proper self-energy. The Fermi-surface top
ology is in agreement with angular-resolved photoemission data for dop
ings similar to 20%. We discuss possible violations of the Luttinger s
um-rule for smaller dopings and the role of van-Hove singularities in
the density of states of the Zhang-Rice singlets. We calculate the shi
ft in the chemical potential upon doping and find quantitative agreeme
nt with recent experiments.