If you're just commuting like a normal person, there's also the Deutschlandticket, all* public transport for €49/month.
* including ferries, busses, underground, but also has exceptions that don't matter for normal commuting such as "no intercity express" and "a seat isn't guaranteed".
* including ferries, busses, underground, but also has exceptions that don't matter for normal commuting such as "no intercity express" and "a seat isn't guaranteed".