Great challenge idea.
I recently downloaded an app called QualityTime. It reports to you how many times you unlocked your screen in a day and how many minutes or hours(!!) you spent on your phone. I can legitimately say this app has been eye opening. I didn't think I was a smart phone abuser, but holy crap!
I quickly came to realize a few things about myself... I unlock my phone's screen to either check the time or to check notifications more than once every 7 minutes. Seems ridiculous!
I also spend on average, 1-2 hours a day on my phone. What the actual %^$& am I doing might you ask? Great question! Instagram, chatting on Hangouts, taking photos, Googling random stuff, DuoLingo (10 minutes a day sucka!), and various other things that REALLY ADD UP.
I recommend it because you'll quickly realize how un-present you are in so many situations. And others too. I haven't been using it long but I feel like I've already got more time back to myself, and I like it.
A side note - I love your idea of not getting on your phone before a certain time in the morning. This is something I've been doing for about a year now. It's KEY for me to have a great, productive, and focused day. Plus, thinking your own thoughts in the morning is much more powerful than thinking of someone else's (especially if it's negative like Facebook or the news tends to be).