How can I find a caregiver job in Germany?

Who needs stereotypes? - with marvellous efficiency, the German government provides this excellent and thorough information site. It is in English, by the way. Though if you wish to work in Germany I expect you'll already plan to have German language skills.

https://www.anerkennung-in-deutschland.de/html/en/healthcare-professions.php

Where are you now? In the States or in another country?