Acoustic treatment for apts

I'm hoping I could get some advice for my odd shaped apartment. I've got all kinds of acoustic problems. The right wall has a fireplace. The left wall has a V-shaped indention. The rear has open spaces on both sides with a big one on the left. The ceiling is vaulted, but slants left (high, 12') to right (low, 9'). My acoustic reflections don't have a clue as to what to do. Neither do I.

I've been looking around and found some nice acoustic panels I could hang on the wall in the 2" & 4" variety. There really isn't a good place for a bass trap. How effective would this be? I've got great real estate in the front and rear. Your ideas and suggestions would be greatly appreciated. I can modify anything, so long as it can be reverted back.