  We introduce and investigate new models of the Chern-Simons type in the
three-dimensional spacetime, focusing on the existence of compact vortices. The
models are controlled by potentials driven by a single real parameter that can
be used to change the profile of the vortex solutions as they approach their
boundary values. One of the models unveils an interesting new behavior, the
tendency to make the vortex compact, as the parameter increases to larger and
larger values. We also investigate the behavior of the energy density and
calculate the total energy numerically.
