Toroidal electromagnetic pulses have been recently reported as nontransverse, space-time nonseparable topological excitations of free space [Nat. Photon. 16, 523-528 (2022)]. However, their propagation dynamics and topological configurations have not been comprehensively experimentally characterized. Here, we report that microwave toroidal pulses can be launched by a broadband conical horn antenna. We experimentally map their skyrmionic textures and demonstrate how that during propagation the pulses evolves towards stronger space-time nonseparability and closer proximity to the canonical Hellwarth and Nouchi toroidal pulses.