From the nursery I got a parsley plant, a thyme and an oregano. I would plant them separately.
Oregano is a non-woody perennial.
When the parsley dies, you will want to dump it without losing the other two. Oregano can get out of control and crowd the thyme. Thus, you want to keep them all separate. Feed the thyme and oregano very, very lightly and infrequently. They grow well in poor soil with little water.