Will I one day move in with my girlfriend ?

So me and my girlfriend have been together for 5 months and she has her own house and I live with my parents. I did mention living together to her and she said she likes her alone time so not for a while but one day! Like if I were to move in with her how does it work? Do I just pay all her bills of something? The other thing is when will I move in with her? What if in 10 years time we get married and have kids and we are still not living together? Is her house going to prevent us from living together? Because I could start saving for my own house well I have been. But I like her enough to want to eventually live with her! She had said things like we should get a tooth brush and blanket to keep at her house so what does that mean? Should I dump her and just and find a girl who doesn’t have her own home? My girlfriend said she will be upset if I left and I’m the only guy she wants but I don’t know. Apartments in NZ are soooo expensive like $200 a week I don’t want to do that! Then if I did the problem will still be there! Is it just going to be I go and stay at her place on the weekend and she comes to mine during the week for the rest of my life. Should I even worry about this? What should I do? Will I get to move in with her??