So how do you distinguish your Christian God from Xiao, the flying monkey of China?
I'm not really able to process this question adequately, I don't think. If you mean by "my" something like "my personal conception of God" I can tell because it is in my head, as opposed to someone else's. But I'm fairly sure that's not the kind of definition you want.
Christianity is an awkward inclusion here. It does not belong to me, and though it has been a very important influence on me over the years, I keep "Christian portrayals of God" bracketed in my head, a significant but not exclusive source of meaning. It's a way of thinking of God, but she is not confined by it, only described.
I guess you mean something like "As a Christian...", but I can't speak for all Christians, as I was accused of doing a few posts up. Christianity describes a social community united by a shared history and resulting in similar cultures and philosophical languages. It is not, and has never been, any particular claim about what God is. Our entire history has been one of schism, from its earliest documents to its modern communities, and the nature of God is a common trigger point. One reason why I stay prudently away from the question as a general rule.
The xiao is more like a mythical beast than a god, I think?