Hi eveybody, I'd like you to help me to find the correct verb for this situation or the correct sentence to make me undestand.
If I know that a pretty girl is coming to my town to visit it and I know that she's single and I want to tell her I'd like to "book myself" to stay with her and to do her special guide without any other guy in my way

(is this sentence correct?), how can I tell it to her? ( PLEASE CORRECT THESE SENTENCES I WROTE IF THEY'RE WRONG).
This dialogue can be helpfull:
Me: So, do you think to come here and visit my town?
Her: Yes, I'm gonna come there on Semptember.
Me: This is great! I'm looking forward to meeting you.
Her: Me too.
Me: Aren't you engaged any more, are you?

(smiling)
Her: Nope, I'm single now.
Me: I see, so since you're single, I wanna "book myself" to let you visit my town.
Her: All right, It'll be a pleasure for me.