Can it be hording when it's a 2 year old with toys?

  I'm by No means the most organized person in the world but, that's not to say we are dirty (because we aren't) it's more clutter.  Recently I've been trying to de-clutter because my house is starting to feel claustrophobic (too much stuff, not anywhere near enough space) and I've done a good job (if I do say so myself) in the downstairs.  The exception to this lately has been J's toys. We do our big cleaning on Sunday afternoons laundry, vacuuming (the whole downstairs after brushing the dog), sweeping and mopping the floors in the kitchen wiping down the walls, basically the works.  During the week, I try to keep things organized, I really truly do but a 2 year old with more Hot Wheels cars than any other kid I know can get exhausting.  I learned early on to just pick things up at night, mostly to avoid the frustration of watching all my hard work done during his nap time get destroyed in 3.2 seconds.  However, by Wednesday night I'm beyond tired from working crazy hours (it's a treat if I go to bed BEFORE 2am) and the thought of picking up all the toys in the living room before going to bed is nauseating.  Fast Forward to Thursday afternoon, the toys from Wednesday are still out (with the exception of the few I've gotten J to pick up in order to walk through the room) and I'm loosing my mind. After dinner it almost always consists of me caving after trying to get J to clean up the room, although most days I can get him to help me with the majority of it, only to have the room trashed again by bed time.  It's a vicious cycle!
  Part of the problem is having an assigned house with a floor plan not conducive to a toddler.  We have no "play" area and the rooms aren't nearly as large (with the exception of the master bedroom and kitchen) as our Ohio house.  We're forced to use the front half of our living room as his play area.  I had the discussion with various family members and friends about why we won't put toys in his room, and my answer has always been and will always be, that his room is a place to sleep and not to play....if he has toys in his room he won't ever sleep that's just the reality of my child.
  Believe me, J has a LOT of toys, but mostly small ones and not nearly as many as a lot of people we know.  We've taken away all of the "baby" toys and they are being stored in the storage room that we have, but I can honestly say I'm excited for him to be getting older since the bigger they are the smaller the toys become and the less room they will take up. 
  Honestly though, if anyone has any ideas of HOW to get him to pick his toys up without an hour of discussion I'd really love to hear it, since right now there are times when I feel like I'm on that hoarders show because there are the toys of a 2 year old EVERYWHERE!