I usually wake up aroused. I can think of a few mornings I hadn't, or maybe that's because I was awake in bed and it settled down as I was getting myself started for the day.
Now that I live with a few guys, I'm slowly becoming more comfortable with the huge bulge in my pants. I sleep nude so I just throw on pajama pants or shorts over my boner and I position it "up" against my abs. It's still plenty visible; it's just not going to impale one of them through the stomach if they walk with a few feet of me. :lol:
I usually lock my door and jack off if the morning wood persists, or if I don't feel like it, I'll go take a piss and that usually calms it down.