In a perfect world the person who extends the invite should pay, but it's a norm that the guy pays and I don't see that going away anytime soon. One of the traps a lot of people seem to fall into is going to an expensive restaurant on the first date to try to impress their date. I would just keep it casual - coffee shop, walk through the park, candlepin bowling. Why get locked into an expensive hour+ meal on the chance you two won't even connect?
Lucky for me I don't date. Such a scam.