If you crochet, I suspect that the Continental method is easier in how you handle the yarn. At first, just hold it like you crochet. I think it's a bit faster, too.
The American style is slower, but might be a bit easier to manage the thread at first.
There are actually a few other ways to handle the yarn. But these are the two you'll find most often in the US.
Thank you so much for taking the time to answer my question, it is appreciated!