I planted basil in my garden this summer. It was fabulous! I used leaves for at least 20 recipes from that little $3.00 plant. It only died about a month ago because we were living away from our house for a month and never got to water it.
I planted some parsley and oregano in a flower pot and had it in my kitchen for a while, but got tired of it cluttering my already small amount of counter space. I set it on the back deck right in the middle of the all day sun with no shade. The pot I had planted it in didn't have a hole in the bottom either. Those plants died in about a week (along with a few other flowers I'd put out there).
However, I have a few potted plants that I've managed to keep alive for more than 4 months. One is sitting on my front porch that has great morning sun, but not that hot and heavy afternoon sun. It is also planted in a pot with a hole in the bottom to drain the water.
This is how I've planted my new herbs so I hope they last! I'll let you know how they do to see if this is a good spot for herb growing.