I think what books you have is less important than what your attitude is, but that said, DS loved the Oxford Reading Tree Songbird Phonics series. I bought them for him when he was reading a bit and being obviously frustrated by being unable to read whole books. This definitely went well: they have good stories (he still insists on keeping them in his book case and occasionally reads some!) and he was immediately able to read whole books which he loved. I think the moment had to be right, though: since he was actively wanting to read whole books, he leapt straight in, and we were able to maintain a policy that these were his "reading books" which were only ever read by him, not to him. I suspect that if we had got them when he wasn't quite ready for that, we might have felt pushed into reading them aloud to him and then they'd have been just another set of story books. So my gut feel is that if your DD is interested but not actively pushing her limits yet, you might want to hold off for a few months.
