thank you for sharing your question with the Wefugees Community.
Have you had any type of health insurance in Germany before?
The procedure is simple. First, you should ask your Social Affairs Office (Sozialamt) if they pay for your AOK. They actually must pay for your health insurance in Germany. However, it is good to ask them beforehand. After that, you go with your residence permit (in your case Aufenthaltsgestattung) to one of the AOK Branches close to where you live and take from them a Statement of Membership (in German ''Mitgliedsbescheinigung'') for you and your family. You can also take your fotos with you in case they want to take them for your cards. Then you send a copy of this Mitgliedsbescheinigung to your Social Affairs Office. Your Social Affairs Office will then contact the AOK and then send them regularly the money for your AOK insurance. You will then receive a letter from the AOK to bring them or send them your fotos (if they haven't already taken them from you) for your AOK cards and sign for them for your AOK cards. After all this, you will then receive your AOK cards by post in your address.
I hope my answer was useful for you and I'll be very pleased if you contact me again with further questions. I'm a member of the MBEON-staff and I‘ll be glad to guide you over a longer period of time. Mbeon is an online consultancy for migrants via the mbeon-app, which you can install on your smartphone for free. Download it via App Store or Google Play Store. You'll find me In the mbeon-app under my name „München, Herr Noori“ and get confidential one-to-one advice in a safe virtual room where nobody can wiretap messages. Further information: www.mbeon.de.