Heh I am from the UK and my Credit card just worked even though it was dollars. Since it about 2million dollars to the pound its a good deal! I would not worry and just use your Euro card and it will all come out in the wash.
Yep, Eurocard or any other that is compatible with VISA/Mastercard/Discover/Amex will work. The bank should automatically convert to dollars. Alternately you could also use Paypal.