Even though wedding is not the everyday thing to plan, hiring the wedding photographer doesn't need to be complicated. It usually starts with some light probing over email or phone.
As I'm keen to learn about your whishes and expectations ahead of the photosession the next step would be to have a plan meeting (IRL or over Skype). We then discuss the wedding agenda, details and styles as well as what is possible and resonable.
When we agree on key points I'll give you a final price. If everyone then is happy with the proposition we sign a contract. I here look at the long term - that you should be satisfied long after the grand day is over and the photos have been delivered.
Payment is done with one third of the total amount sometime before the wedding day and the rest within 20 days after delivery.