The round dehydrators that can be found at many big-box stores do a great job (and can be used for drying many other things - fruit, veggies, jerky, fruit leathers, etc, etc).
Depending on the herb, you can sometimes harvest fresh, tie together by the stems and hang in warm, dry place (attic) until dried.
For storing, mason jars or any other container you can seal up is great. Store in cool, dark place for longest storage.
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