Q.Broccoli harvest length of time
How long after those first sprigs can I keep harvesting? Is there a time that I just pull the plant and start a new one? My broccoli don’t seem to get much more than a stem of broccoli here and there. I live in Florida so it is hot here.

This article will help you. As the article suggests, you should be getting a second wind from your broccoli after harvesting the main head from side shoots. One sure fire way of knowing when to pull up broccoli is when it starts to bolt (when you see a hint of yellow, the florets are starting to bloom or bolt.)
https://www.gardeningknowhow.com/edible/vegetables/broccoli/harvest-broccoli.htm