  I present an overview of our ongoing project aimed at building a new
generation of velocity dispersion profiles ad rotation curves for a
representative sample of Galactic globular clusters, from the the radial
velocity of hundreds individual stars distributed at different distances from
the cluster center. The innermost portion of the profiles will be used to
constrain the possibile presence of intermediate-mass black holes. The adopted
methodology consists in combining spectroscopic observations acquired with
three different instruments at the ESO-VLT: the adaptive-optics assisted,
integral field unit (IFU) spectrograph SINFONI for the innermost and highly
crowded cluster cores, the multi-IFU spectrograph KMOS for the intermediate
regions, and the multi-fiber instrument FLAMES/GIRAFFE-MEDUSA for the
outskirts. The case of NGC 6388, representing the pilot project that motivated
the entire program, is described in some details.
