Measuring gravitational redshift with a small telescope is challenging due to the need for significant light-gathering capability, typically requiring large observatory-sized apertures. While it has been achieved with the Sun using specialized filters, reliable measurements for extrasolar objects are deemed impractical without expensive instruments. A magnetic-optical filter could potentially be constructed for around $10,000, but this remains costly for amateur astronomers. The Pound-Rebka experiment offers a more feasible method for backyard experiments on a budget. Overall, while some techniques exist, the consensus is that significant resources are necessary for accurate gravitational redshift measurements.