First thing - don't take her to a movie. It's what a lot of people do but it's pointless cos you'll spend like 2 hours sitting there doing nothing when you could be talking, touching etc etc. Just take her somewhere cool where you can kino and talk as much as you like. Even a walk or something is better than a movie, make sure you're prepared before you meet her to what you're going to do with her. Lunch is cool but don't offer to pay for her, pay half each or whatever otherwise she might take you for a shmuck who'll do anything for her.
You should start kino straight away, if she's not used to your touch at all it's probably best to start by touching her arms lightly when you're talking or hi-5 her if you both agree on something. Even 'accidentally' brushing her arms will get her used to your touch, and it won't be awkward because it's 'accidental'

. Then when you go to walk off to wherever you're going hold your arm out at the side so she can link with you. All you're doing is desensitizing her to your touch so you can build it further. If she says anything just don't be phased by it just come across as happy and confident like that's what you do with all girls. Your positivity will rub off on her and she'll associate fun thoughts with you.
Good luck dude
