We present Keck/DEIMOS spectroscopy of globular clusters (GCs) around the ultra-diffuse galaxies (UDGs) VLSB-B, VLSB-D, and VCC615 located in the central regions of the Virgo cluster. We spectroscopically identify 4, 12, and 7 GC satellites of these UDGs, respectively. We find that the three UDGs have systemic velocities ($V_{sys}$) consistent with being in the Virgo cluster, and that they span a wide range of velocity dispersions, from $sim 16$ to $sim 47$ km/s, and high dynamical mass-to-light ratios within the radius that contains half the number of GCs ($ 407^{+916}_{-407}$, $21^{+15}_{-11}$, $60^{+65}_{-38}$, respectively). VLSB-D shows possible evidence for rotation along the stellar major axis and its $V_{sys}$ is consistent with that of the massive galaxy M84 and the center of the Virgo cluster itself. These findings, in addition to having a dynamically and spatially ($sim 1$ kpc) off-centered nucleus and being extremely elongated, suggest that VLSB-D could be tidally perturbed. On the contrary, VLSB-B and VCC615 show no signals of tidal deformation. Whereas the dynamics of VLSB-D suggest that it has a less massive dark matter halo than expected for its stellar mass, VLSB-B and VCC615 are consistent with a $sim 10^{12}$ M$_{odot}$ dark matter halo. Although our samples of galaxies and GCs are small, these results suggest that UDGs may be a diverse population, with their low surface brightnesses being the result of very early formation, tidal disruption, or a combination of the two.
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