A part of me is rebelling against responding to this thread, but something else is leading me on so here it is:
To me this "dwelling in His presence" is what Jesus called being "in my name" or what we might call being "in His name".
"For where two or three are gathered together in my name, there am I in the midst of them." Matt 18:20
The verse quoted above is just one of a multitude of verses found not only in the NT but also in the OT. How can we express exactly what it means? God can and does express it at times to us, but we are likely to have difficulty expressing to others who have never been there.
I have read all of the posts on this thread and it was quite a pleasant experience because others have been in his name as well.
Many people meet regularly to worship God and when they do they should really all be in His name to get what God wants us to get when we gather together. Without the "in His name" it is likely no more than a social gathering of people and it may be good, but it certainly falls short of the "very good" that God made in the beginning.
We can be alone with God and "in His name" with no other person present and perhaps that is not the same as it is when other people are present who are also in His name, but they are certainly related. The difference I see is on the one hand preparing as an individual to become a part of the Body of the Christ, while the other is working together with other parts to get to that "fitly joined together" place of which Paul wrote. It is all necessary in God's plan and for anyone who hopes to be part of the end of God's plan.
For me the "in His name" comes sometimes with difficulty and sometimes so easily. The difference there is in me. How hard or easy is it to surrender it all to Him? My habitual time is in the morning when I first get up. I'm always the early bird so my wife sleeps on as I go into my study [2nd bedroom of 2 bedroom apartment] to spend my time with Him. I have my Bibles right there and I begin always with what people call the Lord's prayer [Matt 6:9-13 plus verses 14-15]. Some will call this a vain repetition, but I do not read them vainly. I pray them carefully two or three times depending on the day of the week. Some days it is in two languages plus one and other days in three languages plus one. As I am reading I am always trying to concentrate on what the words are saying. I do the same thing with my regular Bible reading which follows the Lord's prayer. Before and after each chapter read I will also stop to simply talk [pray] to the Lord or to listen.
Where does the "in His name" come in? Anywhere and everywhere. For me it usually comes in an unknown tongue. My tongue directed by His Spirit. This is the "plus one" I mentioned above. This is my morning session. There are no other special times, but while I am on a Christian forum I will always look to prayer sub forums and pray for needs expressed there. When I read through or scan the threads/posts on the other sub forums I will also try to pray as I go. When I don't, I may speak when I should be silent or I may say something better left unsaid. During the course of my day I will sometimes pray as led to do so. Usually, if not always this is "in His name".
"In His name"? What is it? Where is it? Heaven! When not "in His name" I guess that sometimes I am in hell, but I don't go there as often as I once did. When in heaven, it may simply be first, but quite often I believe it is the second. I cannot say that I've been to 3rd but God is not finished with me yet.
Don't get worried about heaven here. For me from scripture there are three. See the tabernacle in the wilderness built according to God instructions to Moses. There is the outer court, the holy place and the holiest of holies. Of course there is a place outside of the outer court. The children of Israel lived there and always had to return there. But daily the sacrifices were being made for them and once a year the high priest entered that most holy place. Now we, everyone of us, can stay always in first heaven; we should be entering second heaven every day. As to third heaven... that is a place for those without sin.
Never mind all of the detail for every person may be different in the details for the Body of Christ consists of many parts with assorted functions... but all "in His name".