As a potential fuel of the future, the safe containment and distribution of hydrogen is of critical importance. With its small molecular size, hydrogen can permeate through many commonly used materials, including steel, eventually leading to embrittlement. This raises the need for hydrogen barrier coatings, for which ceramics are of great interest due to their intrinsically low hydrogen permeabilities. A thorough assessment of these materials should include measurements under pipeline operating conditions; that is, ambient temperature and moderate to high pressure. Given the very low (but not inconsequential) hydrogen permeability of many materials under these conditions, careful sample preparation and sensitive hydrogen detection is required. This work details the experimental methods employed to measure the hydrogen permeability of a range of materials at ambient temperature. These methods include gas chromatography (GC) and high-pressure thermogravimetric analysis (HP-TGA).