Do not get caught up in the idea of "a good time". There is no good time or bad time to change the relationship. If you want this you have to go for it. Right now you are in the friend zone and that won't change unless you tell her how you feel. Whatever decision she makes probably isn't drastically changed by when you tell her. Just one word of caution. Once you tell her it could change the relationship but by not telling her you may run the risk of always being friends. You have to decide if being girlfriend/boyfriend is worth the risk. If you really like her it probably is. Find a quiet time when you are together and tell her you are having feelings for her that are romantic. Would she consider being more than a friend. You are taking a chance but it will probably be worth it.
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She also tells me many things about her last relationship, and that although she no longer wants to be in that relationship, that she is still not 'over' it. How should I handle this?