Generally, banks in Europe don't usually charge you for using their ATMs, so any ATM charges will probably come from your bank. For example, Bank of America charges $5.00 per transaction to use a foreign ATM -- plus their currency conversion charge, which could be as much as three percent (I don't know for sure).
There are some banks, such as Charles Schwab Bank, that don't have any withdrawal fees, but since you are leaving next week, you don't have time to switch banks. Your best strategy is to take our as much money as possible each time you withdraw, which will minimize the fees. Like, take out $300 to $500, if you can. If you do a lot of little withdrawals, the fees will add up fast.