Actually, it does not matter how "I" define God, He exists apart from me and perhaps sometimes in spite of me! He most certainly is not subject to any definition of mine!
He is God. Transcendant, personal, omniscient, the Creator ... but none of that really 'defines' Him, because He is the Creator and you and I are only created. How on earth could we comprehend enough to define Him? If we could, He would not be God, would He?
Scientific facts in the Bible? Yes, they are there. And in every case where we can check, they have been absolutely accurate.
Why do I believe in Adam and Eve as reality? In part because I have seen that every time the Bible can be checked, it has been accurate.
In addition, now that I know the Author of life, I have no problem believing Him at all.