I store cane reeds (for clarinet and sax) in a medical sample bottle part filled with gin or vodka. The reeds last much longer and no germs. Probably not applicable to bagpipes since you don't want to keep pulling the reeds in and out of them.

Mostly I use synthetic reeds for clarinet and sax now - they start with no moistening so they're better if you do a lot of doubling, and they've improved a lot in the last 10 years. Fibracells give me the sort of cool flutey tone I like in a sax, and Legeres give me a warm and complex tone with a metal clarinet and a glass mouthpiece.