So okay I'm a girl and from my point of view I would say somewhere nice and enjoyable like a nice restaurant or the movies or the funfair! That's always fun.
Any place she's very much comfortable going, where she could enjoy a lot and simultaneously feel it being worth going out with you. Depends, some nice restaurant, beautiful sight seeing, leisure.
You should think about a place for a first date only if you want to build a serious relationship with the girl you like. Personally, I communicate with girls on this dating site. You will find more info here on how often to meet beautiful girls for regular meetings and relationships without obligations. For avid bachelors, this is very convenient.