Thyme is awesome! I love it as a soup enhancer. The plant is really remarkable. First off, keep it moist - not drowning. Most herbs gain their full flavor through the sun. That being said, make sure it has plenty of sun and constant moist soil.
Now, Thyme keeps a grow'in! It is a constant harvest and not an "end of season" harvest. Cut back the Thyme as needed and prepare them as you desire. Keeping Thyme cut actually encourages growth. You will have a greater overall harvest through continuous cutting than if you waited till September or so. That's awesome!
Personally, I keep my herbs planted in an outside planter far above the ground. This maximizes sun exposure and minimizes weed and pest infestation. Right now I have my Thyme planted on the top of my inverted planters. I have tomatoes growing inverted (like a Topsy Turvy) with the open soil on top succoring the herbs.
My absolute in gardening is the use of Epsom Salt. It is one of the most spectacular products to use for growth and health. Read up on my hub on inverted planters for the proper proportions with water.
Have faith! With knowledge and consistent care - Thyme will tell!