If you want to preserve some, you could make a herb-infused butter & freeze it.
I generally use a cup or so of rinsed dried chopped herbs to a stick of butter; melt the butter and fry the herbs gently for 4 or 5 mins then pour into a small bowl. Refrigerate and once it is set slice into six, then freeze. You can use the butter to finish off all kinds of sauces.