  The kinematic plane of stars near the Sun has proven an indispensable tool
for untangling the complexities of the structure of our Milky Way (MW). With
ever improving data, numerous kinematic "moving groups" of stars have been
better characterized and new ones continue to be discovered. Here we present an
improved method for detecting these groups using MGwave, a new open-source 2D
wavelet transformation code that we have developed. Our code implements similar
techniques to previous wavelet software; however, we include a more robust
significance methodology and also allow for the investigation of underdensities
which can eventually provide further information about the MW's
non-axisymmetric features. Applying MGwave to the latest data release from Gaia
(DR3), we detect 47 groups of stars with coherent velocities. We reproduce the
majority of the previously detected moving groups in addition to identifying
three additional significant candidates: one within Arcturus, and two in
regions without much substructure at low $V_R$. Finally, we have followed these
associations of stars beyond the solar neighborhood, from Galactocentric radius
of 6.5 to 10 kpc. Most detected groups are extended throughout radius
indicating that they are streams of stars possibly due to non-axisymmetric
features of the MW.
