Can my info be saved?

My iPhone underwent some water damage (I'm not sure how, but that's not really the point of this), and so tomorrow I'm going in to get a new one. I was wondering if my text messages/photos/music will be recoverable from my current iPhone and if they'll be able to put them onto my new iPhone? I'm really most concerned about my text messages; I had some information in them that I needed and hadn't written down yet. Thanks!