This dissertation seeks to develop a full autonomy system that allows bipedal robots to 1) acquire multi-modal data from a calibrated perception suite; 2) estimate their poses in textureless environments; 3) detect and avoid dynamic obstacles; 4) traverse unexplored, unstructured environments and undulating terrains; and 5) perform point-to-point topometric navigation. All the research presented in this dissertation focuses on advancing the state of the art in mobile robot autonomy. To ensure the practicality of our work, we have evaluated all of our algorithms on Cassie Blue. We develop an automatic pipeline for both LiDAR-camera extrinsic calibration and intrinsic calibration for LiDARs. The resulting calibrated system achieves pixel-lev...