This is how a carry my 6plus (even with my 5s so the size of the plus doesn't bother me a bit). With a jacket it's inside my pocket. Without a jacket a carry it with my hand. If I need to hold onto something or if I need to use my hand to do a task I will put my plus n my pants pocket then will hold it again when done. Never had a bag but I do have a wool sleeve that I made for it. If I do need to sit down and its in my pocket I make sure that I pull it out and put in a table/desk.
sweet fancy moses that sounds awful.