I like this story so far. It's really good.
The only thing I don't like about Harry being reborn into other families is that Harry (despite being an infant/child) retains all of his memories. I honestly don't think this could even happen, seeing as the babies/children don't normally have the ability to do this (due to the brain not even being able to withstand all of it like the way stories do it). But oh well. I do hope you continue to write.