Gabe1982,
Are you planning on keeping the pots indoors? or do you have an outdoor space where the plants can get some sun?
Buying herb plants from the grocery store may not be the idea place to purchase a plant you want to grow on. Check out your local nursery for small herb plants. Don't know where you live so I can't say what time of year is best to find the plants for sale.
Once you buy the plants you can begin to take cuttings from many (but not all) types of herb plants; root the cuttings to make more plants for free.
One thing I leaned is to not plant Parsley too deeply or the crown will rot.