It is also a well-known rule that if you have just received the ball, you can bounce it but if after you take it with both hands, you cannot bounce it again and you must either shot or pass it.
Most of the steals (a defender stealing the ball) occur when the defender tap the ball from the offender, usually causing the ball to bounce (at least once). When playing, I always thought that the stealing was the first bounce, and you cannot take it with both hands unless you intend to shot or pass it.
However, in several videos of the NBA I have seen that the following: defender tap the ball causing a steal, then ball bounces, same defender takes it with both hands, and starts dribling all the way to score.
Is this normal/legal?
EDIT: Just to give you an idea, I am leaving this links of plays from Russell Westbrook:
In this one, he does not take the ball again and just continue the dribling to score:
In this other one, he takes the ball with both hands after the steal, to then bounce it all the way to score: