With most herbs, the more sun the better, so do try to find a good sunny site. You have just planted the most basic sort of herb garden. It will probably contain your favorite culinary herbs, plants like chives, rosemary, parsley, thyme, oregano, sage, and basil. The only care your garden will require is regular watering and a touch of half-strength fertilizer once a month. Peters or Miracle Grow are easy to use, mix with water and use half a scoop per gallon of water.
Fish emulsion is also good, follow the label directions.
Very few pests will attack your herbs, try not to use poison sprays unless you want to rid yourself of annoying family members. Buy more varieties or three of each of your favorites. You can still do this in containers, but you will want to have several of different sizes. If you get some of the more aggressive plants, like mint, be prepared to spend the rest of your life hacking it out of the lawn or rose garden. If you do a bed, select a spot that gets full sun and allow about one square foot or more for each plant.