A hand-held pump apparatus (1) comprises a peristaltic pump head (2) and a container (20) for a liquid to be dispensed. The pump head (2) has a rotatable peristaltic pump member (6) and a flexible dispensing tube (4) in fluid connection with the inside of the container. A finger-actuated trigger (12) is arranged to drive the peristaltic pump member (6) when actuated so as to cause the peristaltic pump member to turn and pump fluid through the dispensing tube(4). The pump head (2) has a thumb hole (8) disposed through it, the thumb hole being disposed within an area around which the peristaltic pump member turns when actuated.