This is the best article that I found that explains the basic steps of how to dry and preserve fresh herbs. It's actually very simple, just follow the insructions in the article by Marie Iannotti and Voila! Your friends will be so impressed with your extensive knowledge of preserving herbs and you will look super cool.
Cut healthy branches from your herb plants
Remove any dry or diseased leaves
Shake gently to remove any insects.
If necessary, rinse with cool water and pat dry with paper towels. Wet herbs will mold and rot.
Remove the lower leaves along the bottom inch or so of the branch.
Bundle 4 - 6 branches together and tie as a bunch. You can use string or a rubber band. The bundles will shrink as they dry and the rubber band will loosen, so check periodically that the bundle is not slipping. Make small bundles if you are trying to dry herbs with high water content.
Place the herb bundle upside down into the bag.
Gather the ends of the bag around the bundle and tie closed. Make sure the herbs are not crowded inside the bag.
Hang the bag upside down in a warm, airy room.
Check in about two weeks to see how things are progressing. Keep checking weekly until your herbs are dry and ready to store.
Good luck kittens! Let me know how it works out for ya.
XOXO