It is a good idea to decide before hand and communicate your decision to go Dutch, which means that each person should pay for whatever he or she has. Thats the way that it is supposed to be because if nothing works out of this relation you certainly do not want to be obliged to the person.
When you choose the place, avoid secluded spots and places that you are not familiar with. But the ambience is indeed important. You cannot expect to have a tête-à-tête in a crowded shopping mall, can you? I think that is about it about your first date.