Relationship: How to Build Intimacy / Connection

Hello there, my question is: how can I be the driver to create intimacy in my relationship?

I’ve been dating an amazing man for 6 months, but I have difficulties to build intimacy / connection at a deeper level.

To be more specific, if I feel he is not ok and ask about his day, how does he feel today? He would avoid the question. Also, there is a lot of buffering when we are together: date nights = drinking together for him – and not willing not to drink even though I suggested other activities; scrolling on the phone; little attention; very long hours at night (systematically work until 11:30pm at night).

As human beings are all different, I’d like to try and explore how we can create a deeper connection with him, maybe less prone to do so.

Thanks in advance for your guidance!