Personally, I consider it "robust anthropomorphism".
God in the Old Testament expresses Himself to us in theologically symbolic language that we can understand.
There are layers, and layers of meaning.
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However, in some sense God actually does "come down" in order to "visit" us....
We see at the Baptism of Jesus how God the Father looks down from above, as the sky opens up, and the Spirit of God descends like a dove. We see at the ascension of Christ, a return upwards into the sky. We see at the martyrdom of St. Stephen Christ up in the sky. We are told that Christ will return from the clouds above, coming down to earth. These things indicate that, at least in some way, God is literally spatially above us.
As for omnipresence and omniscience... there are different views on this. There are varieties of 'open theists' which believe that God either cannot know or does not allow Himself to know every single event, due to the gift of freedom that He has given His creation. The traditional view of course is that God is absolutely omniscient and omnipresent, but this does not necessarily mean that God is equally present in every location everywhere, or that He is always equally aware of every fact. Because God knows everything and is everywhere does not necessarily mean that He is equally aware of everything and equally present everywhere... just that He does in fact know everything and is in fact present everywhere. This would allow for God to go down to Sodom and to find out the facts, even though He already was down in Sodom and already did know the facts... in a sense, increasing His presence in Sodom and increasing His awareness of the facts. Not attaining new knowledge or visting a place that He was previously absent from, but rather moving towards an increase in those areas.
If that makes sense.
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(While I do consider the above views to have merit, they do not cancel out the strong possibility of anthropomorphism.)
