Here, we present an algebraic and kinematical analysis of non-commutative -Minkowski spaces within Galilean (non-relativistic) and Carrollian (ultra-relativistic) regimes. Utilizing the theory of Wigner-In\”{o}nu contractions, we begin with a brief review of how one can apply these contractions to the well-known Poincar\'{e} algebra, yielding the corresponding Galilean (both massive and massless) and Carrollian algebras as and , respectively. Subsequently, we methodically apply these contractions to non-commutative -deformed spaces, revealing compelling insights into the interplay among the non-commutative parameters (with being of the order of Planck length scale) and the speed of light as it approaches both infinity and zero. Our exploration predicts a sort of “branching” of the non-commutative parameters , leading to the emergence of a novel length scale and time scale in either limit. Furthermore, our investigation extends to the examination of curved momentum spaces and their geodesic distances in appropriate subspaces of the -deformed Newtonian and Carrollian space-times. We finally delve into the study of their deformed dispersion relations, arising from these deformed geodesic distances, providing a comprehensive understanding of the nature of these space-times.