I am a big fan of enabling flight mode when I am asleep. My meditation teacher turns his entire wifi off when we do a check-in. There is research to suggest WIFI has an effect on the way your brain operates. This weekend past I did something truly radical.
I used flight mode for a whole day.
My rationale was this. It was large friends and family bbq. Everyone that was important to me was right in front of my face. Cataloguing the gathering would only serve me to take me away from it. The only problem I struck was only taking one phone but I did crowd source some from some of the attendees.
Like their cancer-producing cousins' Cigarettes, I would hope cell phone use becomes like going outside for a cigarette. Germany has some interesting labour laws which make it impossible to receive work-related emails outside of work hours. Being instantly accessible does alter your immediate cognizance.
If you are worried about missing an important call you could get the same result by disabling mobile data and wifi. You will still get phone calls.
I have a wedding to attend this Friday and I shall be doing the same.