One of the long time fundamentals that has been taught for decades is to always dribble with your right hand on the right side of the court and with your left hand on the left side of the court.
Most of the time that is still rock solid advice but it’s not the best way to execute a 2 on 1 fast break.
Instead, try working on dribbling with your inside hand in those 2 on 1 situations. The first thing you’ll notice is that it creates a much better passing angle.
Those who dribble with their outside hands often have to pass the ball through the lone defender or if they are skilled enough use a behind the back pass to get the ball to their teammate.
NBA players often lob the ball over the defenders head for a dunk but that’s not going to happen at most lower levels.
Secondly, with the ball already in your inside hand it becomes much easier to fake the quick pass and then finish off the break yourself.
The next few times you have the ball on a 2 on 1 fast break dribble with your inside hand regardless of which side of the floor you are on.
Chances are that you’ll see a big difference right away and won’t ever return to the old way of attacking.