Hi @thulkey
If your qualification is recognised and you find qualified work, then you can receive a residence permit according to paragraph 18a of the immigration law (Aufenthaltsgesetz). This is a recent change to the law often referred to as ‘Spurwechsel’, Previously, such a person would first have to leave Germany, apply for a work visa and then return to Germany. Now it is possible to withdraw an asylum case and be given a residence permit for work without leaving the country. You should get advice first in considering this course of action. Here’s a article about the change to the law:
https://mediendienst--integration-de.translate.goog/artikel/was-bringt-der-spurwechsel.html?_x_tr_sl=de&_x_tr_tl=en&_x_tr_hl=en&_x_tr_pto=wapp
Alternatively, if you continue with your asylum case and are unsuccessful, you will receive the temporary paper ‘Duldung’. Once you have this, you can apply for a residence permit according to paragraph 25b of the immigration law (Aufenthaltsgesetz). This permit is for people who are well-integrated in Germany. The requirements are that a person has a Duldung, spent at least 4 years in Germany (if living together with a child), speak German at A2 level and can for the most part finance themselves without needing state benefits.
Here is the legal text:
https://***-gesetze--im--internet-de.translate.goog/aufenthg_2004/__25b.html?_x_tr_sl=de&_x_tr_tl=en&_x_tr_hl=en&_x_tr_pto=wapp
Here is a detailed article about this type of permit:
https://***-nds--fluerat-org.translate.goog/leitfaden/15-aufenthaltserlaubnis-nachhaltige-integration/aufenthaltsrechtliche-situation/aufenthaltserlaubnis-nach-%c2%a7-25b-abs-1-aufenthg/?_x_tr_sl=de&_x_tr_tl=en&_x_tr_hl=en&_x_tr_pto=wapp
Your wife and child can also be issued with this permit alongside you if they fulfil certain requirements.
I hope that helps give you an idea of the possibilities for you. Please note the links are in English via an online translation tool.
Best,
Éanna