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Since "PR" is not a German title, which kind of visa do you mean: Aufenthaltserlaubnis (which can be "unbefristet") or Niederlassungserlaubnis?

Since these topics are very complex in Germany, it is probably better you ask an immigration consultant or lawyer.

Dear [@sandey]

I went through that myself a while ago, I can tell you that if it's you who has the PR, you can sponsor your wife who needs to be able to obtain the B1 certificate on her own and the integration course. As to the children, it depends. If they are young, meaning not in school yet, the answer is no. They will give them the PR that would expire with their passport expiration. If they are over 5 years old, and they are enrolled in school, they will get their PR as well. I they are older, they need to take the B1 and the integration course.

No, if the wife is a slow learner, as long as she is enrolled at school to take the B1, they will give her a temporary residency card for 1 year until she finishes.

I hope this clarify your question.

Good luck.

@sandey

Now, for the "unbefristet", in order to obtain one, the German resident must be working, have invested on the German system [Renteversichirung] for I believe 33 months unless they had a blue card [EU card] which will shorten the period to 18 months. However, things are changing rapidly lately so, like Beppi said, check with an immigration attorney and if you don't have one that speaks English, I can send you a name.

While we are on the subject of attorneys, make sure you buy "Laywer's insurance here in Germany, they sale it for around 300 euro and it does cover almost everything. Read about it.

Good luck again.