Regarding the specfic tips --
-- for gifts, I would specifically not do anything at all romantic at this stage. Get her something you would get one of your other close friends that shows you know what she's into.
-- about telling stories, I didn't mean boasting. It wasn't clear from my post. Talk to her about the experiences you've had in life that illustrate your values and at the same time are fun to listen to and keep her engaged. That is, don't tell her what to think of you -- which would be pretty lame -- but give her something to work with on her own. Don't be shy about this. Lead the conversation, make sure she's having fun.
-- about being seen with other attractive women, I agree you shouldn't give the impression you're a player. But she should get the sense that other high-quality women think you are an attractive guy. Actually, not just women -- you should surround yourself with great male friends too and she should be able to tell that they respect you.
-- about talking to her about her feelings, I don't know what to say. I think it's a part of getting to know someone on a less superficial level.
-- for the dates -- yes! keep it fun and light hearted. Another thing you could try is asking her to help you with something -- run errands, pick out a gift for your mom, etc. It changes the dynamic so it's not always just you pursuing her. She'll feel closer because she helped you.
-- definitely agreed on be willing to tease her. Not in a mean way at all. But you need to show that you haven't put her on a pedestal and will also take some of the pressure and seriousness off.
In short, I guarantee she wants to have fun, may be interested in you, and will be happy if you can lead the way.