Herbs are outdoor plants. Our homes are too hot, too dry and too dim for them. If you want to grow herbs indoors, you will need a cool room, supplemental lighting and frequent watering and misting.
What looks like a sunny room to us is "shady" to a plant. The glass in our windows blocks 19% of sunlight. Plants need that extra 19% to thrive. Hence the need for supplemental lighting. Don't spend a lot of money buying fancy grow lights. Ordinary fluorescent lights are sufficient.
Keep your herbs in a room with a temperature range of 50F to 60F. A humidifier would be great but you can also just mist your herbs daily to provide the proper humidity. Keep them well watered except Mediterranean herbs like rosemary and lavender which prefer to be dry.
Don't be discouraged if your herbs don't survive. Growing outdoor plants indoors is a challenge. Not everyone can do it successfully.