The low intensity and poor resolution of conventional slow positron beams is limiting the study of atomic and molecular collisions and prohibits more ambitious fundamental studies. The application of trapping promises huge enhancement in instantaneous beam intensity; ideal for studying short lived positron bound states. Cooling of trapped positrons gives vast improvement in energy and spatial resolution and gives access to a new low energy regime. This new technology is proving to be both challenging and exciting; the relative merits of several different trapping schemes will be discussed and recent progress presented.