Self-Myofasical Release followed by an active warm-up (sometimes referred to as a dynamic warmup) is a great place to start. This "wakes up" the body and prepares it for exercise. Generally speaking, I begin the majority of my client's workouts with core and balance exercises to ensure that they are activating and stabilizing properly. These exercises typically require the entire body to perform and are a great place to start before getting into lifts. From there I usually have clients do a total body exercise followed by chest, back, shoulders, arms and last, legs.
I have found that working progressively in this order has produced the greatest results. After the last exercise, I always have clients repeat the active warm up and SMR from the beginning of the workout.