While I respect for my fellow PUA's I don't agree with all of the advice. While this may work for some I am going to speak from my own personal experience on what's worked for me:
1) Showing vulnerability doesn't raise her interest in you. Any aspect of challenge or mystery is removed once you do that. You become like every other dude. The excitement of it all evaporates.
2) High-contact and playing the texting game doesn't work. In fact, establishing no texting in the beginning by using the phone to call her once a week to set up dates is a good boundary. Texting fudges thing up all the time. Messages get mixed up, when someone doesn't repond or conversation goes dead you begin to 'wonder', and etc. etc.
3) To answer your question: Closing isn't all that bad and is quite painless. Here's how you get the drawers off:
a) You need a PLACE to f*ck her. Getting her to a hotel is HARD when you've only been on a few days.
Ideally, you need to back to your place. It'll make her more comfortable. Here's why: If she screws you it gives the image of "it just happened" to her friends and to herself. Saying let's go to the hotel just makes it all too obvious (even though she already knows that she wants it -- it is what it is)
b) Schedule your date NEAR your spot (friend's place, or something that looks like a home -- or if you're brave, a park at night with lots of privacy)
c) On the date talk about something that you have at your home that will SPARK her interest to want to see. For example: she said she loves pink straws. You can come back with: "Hey, I have a big collection of pink straws from China. These are so rare! I don't have too much time, but why don't you stop by for a few so I can show you them?" It has to be said WITHOUT hesitation and WITH LOTS of CONFIDENCE.
Once she says yes....you're over the BIG HUMP... as most of the time guys will get fed with the "Gee, it's late. I don't know."etc..
d) At this point who gives a sh*t about the straws anymore. Sit her down on the couch, talk, pour her a drink (if applicable), while you're talking give her a touch on the arm and see how she responds. If she doesn't flinch, maintains eye contact, and likes it..then
e) While talking go for a thigh touch, then go in for a kiss.
f) Take her clothes off....
g) You know the rest.........And usually in these scenarios you never wind up looking at the pink straws or anything you "came for" in the first place...
THE KEY: Make your ASK with confidence, do NOT talk about sex, and refrain from touching her most of the night. If you touch her, make out with her before you get home, and then say let's go back to my place, it'll be clear what you're going there for as you've been "escalating" all night. Don't do it. I only kiss a girl BEFORE going back to my place if I know I'm NOT getting laid that night.
Good luck man!