An apparatus for the handling of hazardous fluids includes a collection vessel, a collection vessel connector, a dose control connector, a unit dose container, a delivery control connector, and a delivery site access device. The collection vessel contains the fluid prior to dispensing, the unit dose container contains a predetermined amount of the fluid for dispensing, the delivery site access device provides access to an intended delivery site, and the connector attaches pieces of the apparatus to one another. The method of the invention allows needle-free connections to be made for the apparatus, using a predetermined arrangement of the pieces of the apparatus, and in one embodiment, employs deformable elastomeric valves capable of creating a decreased pressure at a valve surface, so that upon closure of said valves, a fluid on the surface on the valves is withdrawn within the connector.
