A portable, trapping system for capturing and non-lethally retaining a large number of large animals, such as wild horses or feral hogs. A specialized trailer aligns and secures deployable corral components for transportation. The corral comprises a modular fence erected on-site from multiple fence panels that are hinged together by pinning. The fence panels are configured with voids to prevent animal climbing. A gate with a remotely actuated trap door is similarly pinned between adjacent fence panels. The gate threshold is concealable. Stakes secure panels to the ground, forming a stable enclosure. The trailer comprises a rigid, confining frame structure adapted to constrain and transport corral components. When the corral is disassembled, multiple individual fence panels to be moved are slidably captivated between channels on first and second confining surfaces, being maintained in a parallel and stable configuration during transportation.