Becky, polyester simply refers to the kind of fiber the thread is made of. On the other hand, Madeira is a brand name of thread--Madeira sells both polyester as well as rayon threads for machine embroidery. If you are starting out with machine embroidery and since you have a Bernina 580, you might want to start with a few reels of Isacord polyester thread, if it is available to you since Isacord is associated with Bernina, has a nice sheen, at least here in the United States it is pretty cost-effective and you will get some practice at using your embroidery module with a thread that is known to work well with Bernina machines. Once you get comfortable with machine embroidery, then you can vary your brand of thread and perhaps even play with the more expensive threads. Personally, I like to use Superior Bottom line in the bobbin for machine embroidery, but people do use Isacord as the upper thread as well as in the bobbin with success. Have fun with your embroidery module!