Dense lanthanide polyhydrides are theorised to be promising candidates to exhibit high-temperature superconductivity, expedited by the observation of superconductivity in the La-H system. The heavy lanthanides have electronic properties which are thought to enhance superconductivity in hydrides, however, there remain systems that have yet to be fully explored, such as Yb-H. In our preliminary experiments on the Yb-H system, we observe the formation of two novel polyhydrides: Yb4H23 and YbH7.5, synthesised at pressures exceeding 150 GPa and temperatures above 1000 K. Here, we propose to comprehensively study the Yb-H system, establishing phase stability, determining the equations of state and exploring further hydrogenation. This is imperative to our parallel studies investigating their electronic transport properties.