There are some resorts near the airport, Los Corales and Punta Cana Beach Resort. The inexpensive places are 20-30 minutes from the airport.
Inform us of how long are you staying in the area and the nature of your stay and one of us posters should be able to recommend a site best fitted for your needs.
Don't worry about exchanging Euros, there are plenty of places to make transactions.
Regards,
PJT