How would you distinguish between "children" and "sons" here? "How many sons do you have?" Is a reasonable question.
There is no way to distinguish them. You could use "filhos homens", but it is not so common.
Quantas filhas ela tem is what I heard, (reported)
The robotic voice is very hard to understand I think.
This gave the answer, how many children she has. In English we would say How many children does she have?
"kids" should work as well