Browsing profiles on a dating site, it seems that the majority of girls are totally happy to do this as a first date.
Most Helpful Girl
I would defiantly like a first date to be casual, simply because then it's a little less threatening...
Going out for a drink or a coffee with maybe something small on the side is fun and feels more friendly to me. Not as scary as going somewhere nice and/or fancy where it's a little more uptight and formal, and you may not feel as comfortable being yourself and talking more openly.
If you lets say, go out and have a coffee, you can then walk around and chat, which I find nice (though that's just me). I personally would find somewhere fancy for a first date really intimidating (haha intimiDATING, lol, get it? Yeah...Sorry, I'm really tired...)
By the way, not that fancier dates are bad, but the first date doesn't have to be all impressive by any means. The whole point of dating, in my opinion, is to get to know new people, and ultimately find your partner and best friend, and the best way to do that is to feel comfortable...
I hope this helped a bit...
Have a good one! :)0