With anything growing indoors that are not accustomed to low light (house plants), it is as you mention about appropriate temperature, but, especially, sufficient light to lead to vigorous plants that don't get overly stretched (leggy) reaching for the sun. Herbs grown outdoors in direct sun use that intense light to help develop the intense, characteristic aromas from the various essential oils that develop in the foliage.
If you have decent sunlight for enough hours per day, you will get the plants to grow, but they probably will be weaker and less intensely flavored than those growing outdoors.
One thing you could do is ensure they can get some direct sun outdoors when the temperatures are OK.
The other thing to watch for is insect issues - I've tried some herbs indoors - and even brought some summer plants into the garage to winter over - and ended up with issues with aphids or spider mite.
Good luck - give it a try, and keep us informed as you embark on this gardening adventure! I think Chives, Basil, maybe Thyme would work well - Rosemary as well. You will want to stick to things that don't get crazy big, I suspect.