How does the savory produce seeds?
Both winter and summer savory produce seeds from their flowers. After the flowers bloom, they will eventually produce seeds, which can be harvested and dried for planting. Here is more information on growing savory: https://www.gardeningknowhow.com/edible/herbs/savory/growing-savory-in-your-garden.htm
I would like to know if I can keep savory in a pot in a greenhouse here in central Florida for the winter and where would be the best spot to plant it come summer - full sun and how tall does it grow?
Yes, you can grow it in the greenhouse fine. Keep in mind though that summer savory is an annual while winter savory is a perennial. If you are growing the summer kind, it will only live about a year and then need to be replanted. Full sun is best for them both. They both get to be between 12"-18" tall.
I was under the impression that I needed to leave my summer savory in the garden till the tops looked like they were starting to dry. My mother then informs, no I need to pick it and hang it, which I have done now upside down into bags so the herbs will fall into the bags. My question is, they had little flowers on them so do I need to pick the little purple flowers off first? Also, is there a great way to harvest it to get the little short twigs out instead of picking them individually out from the herb itself?
While savory plant is growing and when you are using fresh savory for cooking, use only the tender growth on the plant. At the end of the season, harvest the entire plant, both woody and tender growth, and dry the leaves of the plant so that you can use the herb over the winter as well.
Will savoury freeze on first frost at 0 degrees?
Yes, Summer Savory is an annual and Winter Savory is a perennial.
Winter savory is hardy to about 10°F (-10°C).
https://www.gardeningknowhow.com/edible/herbs/savory/growing-winter-savory-herbs.htm
can I grow winter and summer savory in the house?
Yes, you can grow winter savory indoors. Make sure your soil is well-draining and on the alkaline side. This plant will enjoy a sunny spot near a window. It is a perennial. You should water it lightly through the winter, and it should come out of dormancy again in the spring. https://www.gardeningknowhow.com/edible/herbs/hgen/growing-herbs-indoors.htm