Limiting God?

Does God limit himself? I mean, the Bible is clear, he knows everything and he's everywhere, but should we add the caveat, if he chooses? It seems to me that God chooses to limit what he can know in order to have an honest interaction with his creation, who are clearly limited by space and time. For example, when God was talking with Abraham about his plans to destroy Sodom and Gomorrah, did he know ahead of time that he'd let Abraham talk him into changing his plans multiple times - as in from fifty to just ten righteous people? If he did, wasn't he leading Abraham on to let him keep offering up new numbers? I don't know. It just seems to me that there are times when God waits to hear from us, hopes we'll change our minds about something, or even changes his mind in response to a prayer request, all of which doesn't make as much sense if God already knows everything and has everything already worked out?
Again, we never were meant to understand everything about God whose ways are much greater and higher than we can comprehend, but still, just because he can know everything and can be everywhere, does that mean he does it? For instance, God knows our every sin, whether they're secret and hidden from others, or out in the open for all to see. He is also omnipresent, but does that mean he is there in the midst of sins darkness and ungodliness? Does he have to be there to know about it? I don't know. I do know that he doesn't need to be informed about anything and he doesn't want to be part of anything that is unholy and unrighteous.
What am I getting at? Something that many of us still don't get! Our God is relationship driven. Was he in the garden when Adam and Eve made the wrong choice? Remember, it wasn't just choosing good over evil, it was choosing self over their relationship with God. Why was he looking for them in the garden afterwards, and why was he asking them so many questions when he knows everything? Does he limit himself because of his desire for a relationship with us? Seeking a relationship with God changes the way he is present! James said, "Come near to God and he will come near to you." Doesn't that mean that God limits himself until we choose to want him closer? "Humble yourselves before the Lord, and he will lift you up." That's pretty close contact! How amazing is it that our God is waiting for us to invite him to come closer? Maybe the real question for us isn't about God limiting himself, but how are we limiting God - who loves us and wants to be close to us!