I'm growing Basil, Oregano, Mint, Rosemary, Parsely, Chives, Thyme and Sage indoors in Seattle with a NE facing window. It's been a challenge getting enough light to them, but they are doing well. I haven't had any luck at all with Dill.
It's a great hobby,and I like the smell and the green, but if your main goal is to save money, you may want to take a closer look at it.
I got into it because I thought I could just buy a basil plant for a few buck and not have to pay 2-3 bucks each time I wanted herbs at the grocery store. Now, four years and hundreds of dollars later, I'm convinved it would have been much cheaper to buy them at the store.
But I'm glad I have my garden. And, yes, it's worht it.
Cromely.