How to not scare her off?

[Raylolo]

Hello,
On Saturday, I broke up with my girlfriend of 1 year and almost 7 months. My feelings had just changed for her and the relationship was too serious for me...I couldn't do anything without worrying if she'd be mad/jealous. We'd always have to ask each other if we could go and do things. For that reason, I really lost contact with a lot of friends and didn't hang out with like anybody. So, that combined with me also developing feelings for another girl led me to break up with her.

Anyway, now that you're caught up...the girl that I like is much closer to my age (not even 2 months younger...my ex was 4 years 1 month and 20 days older). Age hasn't ever been an issue for me, but I just thought I'd fill in the details for those reading this. So this girl just recently got out of a relationship too with a guy (she is bi, not lesbian). She's not ready to say that she likes anybody, although I think that she likes me. She flirts with me quite a bit and she knows that I like her. But both of us already know we're going to stay friends and if something happens, it happens. For me, it's more so on her terms than on mine, because she hasn't admited that she likes me, but I'm pretty sure people don't flirt if they aren't interested.
We're taking things slow for the fact that we both just had break-ups, but flirting doesn't bother me, I'm just afraid it may bother her and scare her off. Sometimes though, she starts it, so she wants to flirt. She's also brought up my ex and asked me if I mentioned her to my parents when I told them me and my ex broke up. Plus she seemed to keep looking at me. So, yeah, it's a pretty great guess she likes me back, but just isn't ready to admit it. I'm fine with that and I completely understand it as well.

Anyway, I guess my question is...how do I maintain a friendship with her (even if it gets flirtatious sometimes) without scareing her off? I don't want her to feel awkward/uncomfortable around me because of anything I do or say. I don't want her to just suddenly stop talking to me or just refuse to hang out with me. I'd really like to spend more time with her (we've only hung out once so far) to get to know more about her, but I'm afraid I'm going to do or say something wrong. Any advice? Please help so that maybe in the future I might actually have a chance to be with her! Thanks!