Crusaders, Knights Templar and Teutonic Knights- who are they?

by viper1030

I do a lot of alternate history mapping for fun, and was thinking of working on what would happen if the Crusades were more successful. When I was trying to figure out the effects of this, I remembered the Teutonic Knights in Königsberg. This brought up some questions.

I know the Crusaders weren't one distinct group, so were the Teutonics just a band of Crusaders? If not, where did they come from and why are they often confused with these other groups? And what about the Knights Templar?

Ser_SinAlot