Abstract. The tasks of accumulating large numbers of positrons, creating high-density positron plastnas, and confining electron-positron plasmas present a number of technical challenges. Some practical considerations and limitations of common confinement schemes are discussed. A novel design for a multi-ccll Penning-Malmberg trap is proposed for the accumulation of large numbers of positrons (e.g., > 1012 and T -05 cV). A method is dcscribed to create a Ilow-density, electronpositron plasma (e.g., it "-107 cmt 3) for basic plasma physics studies that uses a cotnhinatiom of radio-frequency and magnetic confincment. The possibilities for confinement of a hot (cc.. T > 10 keV) electron-positron plasma in a magnetic mirror arc also discussed.