  The ``Spectroscopy and H-band Imaging of Virgo cluster galaxies'' (SHIVir)
survey is an optical and near-infrared survey which combines SDSS photometry,
deep H-band photometry, and long-slit optical spectroscopy for 190 Virgo
cluster galaxies (VCGs) covering all morphological types over the stellar mass
range log (M_*/M_Sun) = 7.8-11.5$. We present the spectroscopic sample
selection, data reduction, and analysis for this SHIVir sample. We have used
and optimised the \texttt{pPXF} routine to extract stellar kinematics from our
data. Ultimately, resolved kinematic profiles (rotation curves and velocity
dispersion profiles) are available for 133 SHIVir galaxies. A comprehensive
database of photometric and kinematic parameters for the SHIVir sample is
presented with: grizH magnitudes, effective surface brightnesses, effective and
isophotal radii, rotational velocities, velocity dispersions, and stellar and
dynamical masses. Parameter distributions highlight some bimodal distributions
and possible sample biases. A qualitative study of resolved extended velocity
dispersion profiles suggests a link between the so-called ``sigma-drop''
kinematic profile and the presence of rings in lenticular S0 galaxies. Rising
dispersion profiles are linked to early-type spirals or dwarf ellipticals for
which a rotational component is significant, whereas peaked profiles are tied
to featureless giant ellipticals.
