A preform suitable for subsequent blow-molding into a final-shaped container comprises: a neck portion; a base portion; and a body portion extending between the neck portion and the base portion; the body portion being defined between an inner surface having a circular transverse cross-sectional shape and an outer surface also having a circular transverse cross-sectional shape, the inner and outer surfaces being non-concentric, such that a wall thickness of the body portion varies circumferentially around the preform. A preform handling apparatus for retrieving a preform from a mold comprises a take-off device having a preform carrier and a take-off device alignment mechanism for maintaining the preform carrier in alignment with a contact surface of a body portion of the preform regardless of any offset between a longitudinal axis of a cylindrical outer surface of the body portion and a longitudinal axis of a cylindrical inner surface of the body portion.