Packages and methods for storage and dispensing of materials, e.g., high purity liquid reagents and chemical mechanical polishing compositions used in the manufacture of microelectronic device products, including containment structures and methods adapted for pressure-dispensing of high-purity liquids. Liner packaging of liquid or liquid-containing media is described, in which zero or near-zero head space conformations are employed to minimize adverse effects of particle generation, formation of bubbles and degradation of contained material.