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i have gained some ground on my AA, but now i am not sure what to invite the girl to do after we talk...food and movies seem like the wrong thing to do....i'd like to figure something to do at my house...but any suggestions of fun activites would be helpful to me
As you probably know bouncing is a great comfort building technique. Ideally, you want to 'bounce' to someplace close by to where you met the girl. From a logistical standpoint it's better if you don't have to drive to where you are going so you two can walk together, and don't have to figure out car situations.
As far as things to do...the key is inviting her along because you are leaving to go anyways. You don't really "care" if she goes, because you're going there regardless. I might say something like, "I'm parched, I'm going across the street for some of their world famous coffee. Do you want to come with?"
Anyways, it really doesn't matter "where" so much. The idea is you are gaining additional comfort and rapport by doing the instant date/bounce. Personally, I usually bounce to a quieter bar, eatery, coffee shop, or something like that. So we can sit down and talk.
Movies are not a great idea because then she has to commit to being there for a pretty good length of time, and you just met her. Now if you're further along in the dating process then year that's cool.