The first thing you need to realize is that learning to play fast is NOT about learning to “move your hands faster”. It is much more about learning to make your motions smooth and efficient.
Also, playing with thin gauge strings and low action (low height of strings from the frets), is NOT going to make you play faster.
One of the things that will help you improve your speed is to focus on the synchronization, which is training your picking and fretting hands to work together.
Even if you never developed the ability to move your hands any faster, you would still improve your maximum guitar playing speed by making your 2-hand synchronization more precise.
And after you do synchronize your hands very well, any increase in speed for each hand will result in a much higher overall speed increase.
