How to propagate? What to do when the plant flowers?
Stevia is easily rooted from cuttings. New (not really tender) growth, good pitting soil, humidity, bottom heat if possible, should root within 2 weeks. Flowers are insignificant, don't do anything. This link should help: http://www.stevia.net/growingstevia.htm
I am wondering if the stevia plant can keep growing and get larger before I harvest it? Mine is about a foot tall now. Will it do alright in a pot indoors?
Yes, you can bring your herbs indoors to grow during the winter months.
Make sure they have plenty of sunlight. Find the sunniest spot you can for your plants to grow well.
You may want to set up a grow light for the plants.
Here is a link with more information.
https://www.gardeningknowhow.com/edible/herbs/hgen/growing-herbs-indoors.htm
I lost last year's to frost. This year I have it wrapped up & under cover, but I don't feel I'm meeting my Stevia Plant's needs. They always seem brittle & never really thrive.
These seem to only be hardy down to zone 8. If you are outside this then it will be common for them to die. You can try to mulch them to help, or even taking a cutting or growing a plant inside. If you kept this plant in container, you would be able to bring it inside during the winter.
Here is an article for more information: https://www.gardeningknowhow.com/edible/herbs/stevia/stevia-plants-in-winter.htm
I am starting a new garden.
Check local garden centers, Do a Google search and try Ebay and Etsy!
https://www.gardeningknowhow.com/edible/herbs/stevia/stevia-plant-care.htm
https://www.gardeningknowhow.com/edible/herbs/nettle/stinging-nettle-greens.htm
Anyone knows best température, humidity and type of soil to grow it, plus tips to succeed, as I read that it is a difficult plant.
This article covers growing Stevia!
https://www.gardeningknowhow.com/edible/herbs/stevia/stevia-plant-care.htm
I've searched and searched and can't find any info on companion planting stevia in the garden. Other herbs I have an idea of a category of where and how to use them and get the best results, but I just can't seem to find anything on it. Marjoram and Thyme were the only companions I found, but that doesn't say veggies. So maybe one more question then, should I just make a box in the garden just for the stevia then??
You could plant it according to how you will use it, how often you will harvest, and where it is convenient for your access.
For example, if your other herbs are near the back door for easy access, I would put it there. (I saw the marjoram and thyme companions, too.)
You are on the borderline hardiness zone, so you may want to plant it in a pot and bring it inside for the winter. Here is more info:
https://www.gardeningknowhow.com/edible/herbs/stevia/stevia-plant-care.htm