What does it mean to be an Independent person?

It's means having a responsibility about your behavior.
Even bad behavior too
And don't get the help of parents anymore
Nowadays There are so many not independent person.
Despite become adult still receive help of parents.
Even get married.
For example if you have a child but their parents take care of them.
Of course, I know infant is very difficult. And you have to work also have to make money.
However they are your kids.
You must have a duty as parents.
Therefore I take care my baby.
Even I change the role with my wife.
I want to become independent person and good father. klingt das natürlich?

What does it mean to be an Independent person?

It means having responsibility for your behavior; even bad behavior too
and to not get the help of parents anymore.

Nowadays, there are so many dependent people.
Despite them becoming adults, they still receive help from their parents.
Even when they get married.

For example, if you have a child but your parents takes care of them.
Of course, I know infants are very difficult and you also have to work to make money.

------------------------------------------------
However, they are your kids.
You must have a duty as parents.
Therefore, take care of your baby.
Even I change the role with my wife. --< ???
I want to become independent person and good father

There is a problem here. You started the paragraph talking to the reader but then you were talking about yourself. You said "YOUR kids" then "YOU must" but then you started talking about yourself. "I want." and " I change."