When you are looking at benefits, you should consider a company that has a good relocation package including a stipend for moving expenses, travel, first 1-2 months accommodations paid for, as well as a relocation manager. This was immensely helpful when I did the move, as I knew very little German and the rental market is extremely competitive.
Salaries are much lower than the US, but there are companies that are catching wind of this and increasing their salaries for product positions.

— for Berlin specifically.