  For a finite subgroup G in SL(3,C), Bridgeland, King and Reid proved that the
moduli space of G-clusters is a crepant resolution of the quotient C^3/G. This
paper considers the moduli spaces M_\theta, introduced by Kronheimer and
further studied by Sardo Infirri, which coincide with G-Hilb for a particular
choice of the GIT parameter \theta. For G Abelian, we prove that every
projective crepant resolution of C^3/G is isomorphic to M_\theta for some
parameter \theta. The key step is the description of GIT chambers in terms of
the K-theory of the moduli space via the appropriate Fourier--Mukai transform.
We also uncover explicit equivalences between the derived categories of moduli
M_\theta for parameters lying in adjacent GIT chambers.
