My norwegian personal trainer - any feedback on workout routine?

Hey guys!
So, after playing football for 10 years and doing some MMA on the side, I've decided to dedicate my next year to bodybuilding along with my studies. I've already built up a good basic level of muscle during my life and I've been training with many compound exercises like deadlift, benchpress, squats and military press. When I joined the gym, I had this personal trainer make a workout routine for me, and I wondered if you guys could be so kind to take a look at it and perhaps suggest any improvements to the exercices or the amount of reps and sets? :)

Back and biceps
Pull-ups  4x8 (dropset cable lat. pulldown if necessary to reach 8)
Deadlift 4x8
Bent-over BB rows 4x8
Seated rows with close grip triangle 3x10
BB bicepscurl 3x6
Incline hammercurl 3x8
 
Legs
Squats 4x8
Lunges 4x10
Leg curls 4x10
Calf-raises 5x8 (smith machine)

Chest
Benchpress 5x6 (DB and BB every other week)
Incline benchpress 4x8 
Chest dips 3x8 
Flyes 3x8 

Shoulders and ticeps
French press 3x8
Weighted dips 4x8
 Military press 4x8
Triceps pushdowns in  cabel 3x8 
Straight arm lateral raises (simultaneous )4x8
 Reverse flyes3x8
 Facepulls 3x10
 
Thanks in advance!