The landscape of global navigation satellite systems (GNSS) is expanding with the emergence of low Earth orbit (LEO) constellations such as Pulsar, which are expected to play a key role in the future of positioning, navigation, and timing (PNT). LEO-based systems provide advantages including stronger signals for greater robustness, faster dynamics that aid convergence and multipath mitigation, and shorter time to first fix (TTFF) enabled by high data rates. These benefits, however, come with changes in signal behavior and constellation geometry that require careful consideration in receiver design. This paper investigates Pulsar properties using a GNSS simulator, analyzing parameters such as satellite pass duration, elevation, Doppler shift, Doppler rate, range, and number of satellites in view. Comparisons with GPS highlight the differences introduced by LEO operation. The analysis examines temporal evolution, statistical distributions, and maximum and minimum values. Beyond these statistical insights, the study explores interdependencies between parameters and differences across satellites, providing additional perspective. Evaluations are performed at multiple latitudes to ensure a worldwide perspective, and the impact of applying different elevation masks is discussed where relevant. Building on these findings, the paper assesses Pulsar's impact on receiver design from two standpoints: design considerations, addressing expanded Doppler ranges, higher Doppler rates, and unique constellation structure; and design optimizations, exploiting parameter analyses and interdependencies (e.g., Doppler rate vs Doppler) to refine acquisition strategies and applying prediction and prioritization techniques to avoid unnecessary computations. Together, these optimizations can reduce acquisition time and lower receiver power consumption.