thank you for referring to Wefugees Community.
after finishing your vocational training successfully, if you find a work in the same field, in which you have done your vocational training, you will be given a residence permit based on section 19d of German Residence Act. With this type of a residence permit, you are also allowed to travel to EU countries, if you complete the entry requirements of the respective country; for example, you should a valid travel document and so on.
After working in this field for two years, your residence permit will be extended and you will be then free to work in any field you want to and live in any city of Germany you expect to.
For more information you can go to the following two links. The first of them is in German and the second one is in English.
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.