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