Which subsidies can I get after finishing my education?
You have to be a member of an unemployment fund to get unemployment benefits from the day you graduate. If you first join, when you graduate, you cannot get unemployment benefits in the first month.
Before you apply for unemployment benefit (dagpenge), you should contact your unemployment fund (a-kasse) or The Danish Agency for Labour Market and Recruitment under the Ministry of Employment to make sure your possible unemployment benefit will not affect your residence permit
You might also be able to get cash benefits, but then you have to meet certain requirements. Read more about social security benefits at What are cash benefits (kontanthjælp)?
You can find help for you job search at Job search and career.