Originally Posted by: fabriciovivas

Therefore, to summarize my question is:[br] - What is the best technique for moving my hand between the strings?

You should experiment with both approaches. It's such an individual thing that you won't know what works for you until you're seriously working through it.

I've seen players that lightly anchor the palm on the bridge & move straight up & down.

But I personally find it better to gradually arc my picking attack back toward the bridge as I descend toward lower strings. The objective here is to rely on the lower strings being thicker & firmer as you get closer to the bridge. So, it's sometimes easier to play faster on them as you pick closer to the bridge.

Another important detail is finding just the right angle of pick attack to cleanly move from one string to the next. That's one of the key aspects of being able to get from one string to the next.

It's great that you can do the tremolo picking on one string! The next step is to get that kind of speed working while crossing strings. It takes a lot of time & practice to get that mechanical coordination right. Have a look at these tutorials that show how to start working on scale patterns on 2 sets of adjacent strings.

https://www.guitartricks.com/tutorial.php?input=928

https://www.guitartricks.com/tutorial.php?input=929

That will get you started on playing horizontally & figuring out which picking attack positioning works best for you.

Then, when you are ready you can work on these tutorials that show how to cross multiple sets of strings while working out your alternate picking patterns.

https://www.guitartricks.com/tutorial.php?input=419

https://www.guitartricks.com/tutorial.php?input=973

https://www.guitartricks.com/tutorial.php?input=980

See if any of that stuff answers your question & helps you get moving forward. Ask more if necessary & best of success with it! :)