I've updated our page about how to crochet with a brand new link:
The truth is, there are zillions of ways you could hold a crochet hook. I haven't covered all of them, and even if I tried, I'm sure someone somewhere would come up with another way I haven't thought of.
What I'm covering in this brief article is a couple of very simple suggestions -- intended to help people get a grip (haha!) on a couple of the most popular approaches to holding a crochet hook.
Beyond that, it's up to you to figure out which way would be most comfortable for you. I'm not here to tell you how you "should" hold the hook, because really, that's for you to decide!