Landru:
Rcprince is, IMO, correct about using a standard bicycle pump, but the problem will not be the pressure generated (as obviously you don't need much) but with the thread of the connector on the hose.
The new sinks (without the indicator light) and the older sinks (with the indicator light) have very different sized connectors where the air is pumped in (I have both). The newer sinks have a valve connection that is the same size as a normal automotive or bicycle inner tube. The older sinks have a connector that is much smaller.
For the newer sinks, a tire pump that uses a "clamp-on" type of hose connection should work ideally.