Just to enrich the soil a bit more, I first add some well rotted manure, if available locally. I would spread a thin layer of well rotted horse manure across the earth first, lightly fork it in, then add your compost. It must be well rotted, not fresh, otherwise it will damage the plants, if you are going to be planting soon.
Just a thought though as you mentioned herbs, some herbs like a free draining quite poor soil - ie the Mediteranean herbs -lavender, thyme, oregano etc. In this case I'd leave out the manure and add some grit or gravel to your compost.
However, Basil likes it rich, so maybe plant it up the other end, or in a pot sunk in the earth. Also do this with mint or it will take over the whole bed!
Good luck.