For me, basil is the one different from most other herbs. It needs more nourishment, water, and doses of N. For N I try to 'fish' mine 7 - 10 days. I use the deoderized fish stuff, comes in qt containers from the box store. For basils I am trying to grow inside, usually 1/2 successful, use a regular potting mix (Fafards, Miracle Grow, Vigaro).
When starting from seed, start in peat pellets, after up, just a few days, about 1/week water with diluted Miracle Grow, Johns Recipe or fish. When they have true leaves and big enough, go to 4" pots with one of the potting mixes mentioned above. In time they will go to larger pots, or in the try-to-sell group at the market.
It is easy to over water when plants inside. You just have to figure that out by watching the plant.
Hope this helps