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It should be fine, but I would'nt change too much content during the transfer. I haven't got my head round why this happenned but a few months ago I changed ip and rebuilt the site with new content at the same time..... it dropped like a stone. I'm sure it was not the new content which caused the problem, I just wonder if the 'total' change upset google in some way.
I know the above sounds crazy but my gut feeling is to keep everything the same while changing ip addresses.