I'd say don't rush it, especially rush it for a committed relationship or even into the bedroom. Nothing needs to go fast or forced, natural and slow is what holds test of time more, imo. You are coming off a bad break up and were hurt, wanting and feeling love is great, but have you properly even healed yet? Have you and her discussed that break up? Be thoughtful with her, girls like that, that you listen and ask how we are and how are day went, you bring her a drink, coffee or what have you that she likes with out having to ask, little things matter. Hope all goes well with you both.
“The world would be a nicer place if everyone had the ability to love as unconditionally as a dog.”