Check out foreflight. It's an app that does exactly what you are talking about. It will definitely show relevant NOTAMs and TFRs and update in flight. I don't k

Check out foreflight. It's an app that does exactly what you are talking about. It will definitely show relevant NOTAMs and TFRs and update in flight. I don't know about europe, but its pretty rare for people to fly GA in North America without some sort of phone app running. There is also FltPlanGo which is free, but it is less full featured than foreflight.