Each day is a full-body workout. Everything important is being covered and nothing is being left out. It's short, it's sweet, and you should be able to power through it and recover adequately between sessions.
As for progression, start with light weights; I mean ridiculously light weights. Add 10 lbs to the deadlifts every time you do them and 5 lbs to everything else every time you do them. When you fail to hit your reps for three sessions in a row, drop the weight down about 20% and build back up to new PRs.
Keep the sets/reps simple; do a set of 5 reps with about 50%, then do a set of 5 reps with about 75%, then do 3 sets of 5 reps with your working weight for the day. Basic 5x5 setup.