Hey spanner, Pete's soapy water idea is a good one - straight out of the workshop techniques for finding leaks in tyres, air-cons and truck air-ride and braking systems... a mechanic with a squirt-bottle of soapy water, squirting an air-line, looking for telltale bubbles indicating a leak. If you do replace your valve stems, right-angle valve stems are a good piece of kit, that come highly recommended.
We use a Ryobi battery operated compressor (from Bunnings) because the battery is interchangeable with my drills and sander, etc... Good for every tyre from our wheelbarrow, up to the car. It's digital display shows air pressures in 0.5psi increments, up to a 70psi max. It is carried in the top box when we go out for a ride, where it is also used to inflate the air mattress in the camping equipment. Seeya, John.