I became a Christian in August 1979. Since then, I have rarely 'experienced' anything 'spiritual' in the sense you seem to mean. For example, only this afternoon, visiting a Christian friend, we concluded with a time of open prayer in her house. At the end she said, "Oh, I really felt the presence of the Lord in the room as we prayed. It gave me the shivers" (in a nice way). I said, "Well, I didn't sense anything, but - then - I rarely do! I can walk into a room of people where (they say) you could cut the air with a knife, but I'm oblivious to all of that." She added that God gives people different gifts, and that somewhat explains the difference between us. She is sensitive to things I am not.
However, I have had rare confirmations from God that he is with me, and that to bless, but what's the point in my retelling them? They are unique to me, just as my friend's experience this afternoon was unique to her. Similarly, I've just read a book of a pastor's testimony of how he came to saving faith in his mid-20s (like me). He experienced feelings and awarenesses of God's dealings with him that are almost foreign to me. I gather his personality made him acutely sensitive to things that have rarely bothered me. His account began around 1760, as a young man. Now I would like to quote this bit, when he was a mature pastor, but going through 'a dark night of the soul'.
"I went one night to preach at a good woman's house, who seemed rather
distressed; I asked her what was the cause of her looking so sadly.
She told me that her husband, though he had long followed the gospel,
had never experienced much of the power of it, but that she had been
greatly indulged with comfortable communion with Christ.
'But lately,' she said, 'my husband is blessed with great consolation,
and my comforts are gone. This is like the Lord's leaving Saul, and
going to David: and I can compare myself to none but Saul, for I
really envy my husband his happiness.'
Hearing such things from an old mother in Israel was a sweet cordial
to me, for being entangled in the same net, I could describe it to her
feelingly, and show her from the Scriptures, that others had felt the
same. My conversation was blessed to her, and she was delivered out of
trouble. But when I found that she was delivered by my conversation,
and that I was left behind, it added to my misery: I envied her as
well as others, and went groaning home, almost desperate... This
increased my misery, and I thought that I had wrestled and prayed day
and night for [my wife], had reproved her, watched over her, admonished her
etc., and now God had heard my prayers for her, and had cast me off,
so that I envied her also." The Kingdom of Heaven Taken by Prayer,
William Huntington, pp 169-70, Sovereign Grace, 1966
This shows the problems that can arise when Christians are going by their feelings. Big mistake! What kind of faith is it that (ultimately) depends on our personal feelings about how, as you say, I "can feel the Holy Spirit in me, feel touched by God, or be moved by it"? Faith in God is not based on feelings. "We walk by faith, not by sight" the apostle said (2 Corinthians 5:7). Our faith is in a 'who', not an 'it'. Paul said "I know who I have believed..." Who do you believe in? Jesus Christ, crucified for our sins, raised from the dead the third day, ascended to heaven, sitting at the right hand of God and due to return in glory? Only that brings saving faith to the repentant sinner.
That is the start of faith, saving faith. Make that start, and continue looking unto Jesus, the author and perfecter of our faith" (Hebrews 12:2) and don't let faith in him waver due to your feelings - or lack of them!