What is the most logical next event?

How to impress a girl on a first date
Figure out where you want to take your date.
The place of the date definitely sets the tone for the date. If you are trying to be more romantic and lavish, reserve a table at a fancy restaurant.
If you want to be more casual, consider taking her out for ice cream or to a casual bar. If you do decide to go for the casual date, be sure the place won't be too crowded.