Well, there really isn't any kind of edible plant that is murder-proof! I grow herbs on my kitchen window sill because it is south facing and gets sun all day long. Two easy herbs to care for would be chives and basil. I have what I call a salad garden outside, also in containers. They are really large containers but all the plants are pretty easy to grow. One has three different types of leaf lettuce and two cherry tomato plants. The other one has carrots, radishes and cucumbers. Growing in containers is less work but they do need good drainage and fertilizer added to the soil.