Mystics were mostly hermits living a contemplative life. If you live "normal" busy life in the profane world then it seems to be more difficult to cultivate this Intimacy. Nevertheless there have to be some possibilities for everyone. I invite you to share some advice and experience.
Where there is a will there is a way. By that I mean a way you make for yourself, but in addition the way God makes (clears up) for you, seeing your perseverance or interest.
It is up to you --- how much you want to be in the world.
Do you work ? Then can you work quietly by yourself for a major part of the day? Can you work from home? Have some solitude?
Do you have a family? Can you not let them know about the space you prefer? They will make sure you get your quiet space. They won't pull you in each time.
Do you socialize for yourself? Do you have to?
Do you socialize for the sake of your family? Can you minimize that?
Do you HAVE TO be on facebook Whatsapp Instagram Twitter or whatever else? Just delete your profiles. Who can stop you?
Have you unknowingly subscribed to meaningless things? Can you not click unsubscribe?
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Do the superficial "parties" HAVE TO drive your life? Say NO
Wake up early to contemplate, meditate, go inward and find the stillness there.