I now have my phone on do not disturb 24/7. I will choose when I participate in messaging. I also disable iMessage on my Mac. If someone comes up to me and talks to me, I may not even respond immediately.
I took this to extremes and a couple of weekends back I actually went for a day long solo hike with zero technology with me at all past a torch, map, compass and alcohol stove. I didn't even have any way of telling the time with me. It was invigorating with the obligation to communicate and steal my attention removed. What was most surprising was the removal of a camera and watch. Rather than being focused on recording my journey and keeping to a schedule I was focused on enjoying it. This has led to considerably more vivid memories and a much higher level of satisfaction. A trip I will always remember.