Hello again @MB,
and thank you for sharing your question with our community.
If you will receive social benefits or not depends on several factors, above all neediness and the number of persons in your flat. Neediness means, that there is a basic rate of need for every person in your household, which varies depending on the age of the children (the range is from 250,- € for smaller children up to 432,- € for a grown-up, in this case you). Additionally, your rent will be considered, and your income including child allowance, parental allowance, and so on. For instance, if you are alone and your rent is 600,- €, your rate of need is 1032,-,€ but your income only 752,-.€ In this case you will receive unemployment benefit II. My example is somehow simplified, the calculation is more complex in detail, especially, when you are not alone.
If you wish to calculate your entitlement, you can use a calculation tool like ALG II-Rechner: https://harald-thome.de/download/.
If you have children, you can additionally apply for an emergency child allowance (Notfall-Kinderzuschlag), which amounts up to 185,- € for each child per month.
Alternatively, if you don't want money from Jobcenter, you can apply for housing allowance. Housing allowances have become limited to those who do not receive other forms of income transfers. The calculation is rather complex, too. If you want to check whether you are eligible for housing allowance, you can use a calculating programme like the following: https://www.wohngeld.org/wohngeldrechner.html.
And, last but not least, your reduced hours compensation will rise by 10 % after 4 months and 20 % after seven months.
I hope my answers were helpful and I’ll be very pleased if you contact me again with further questions. I'm a consultant with mbeon and I‘ll be glad to guide you over a longer period of time. mbeon is an online advisory service for migrants via app, which you can download on your smartphone for free. You'll find me in the mbeon-app under my name „München, Frau Müller“ and get confidential one-to-one advice in a safe virtual room where nobody can read messages. For further information please visit www.mbeon.de.