I am a PS3 player, that is suiting up for the release of Hearthfire, and was wondering if there is anyway to move my stuff from my house in whiterun to the new house i will build. I have about 100+ dragon bones and scales, plus a whole bunch of armor, jewelry and weapons. Is there anyway i can move an entire chest to my new house, or do i have to move everything manually? It would take quite a while if i had to empty out my inventory and move this amount of stuff back and forth.

I think you're probably out of luck. One thing you can try, though...
1. Obtain a horse.
2. Carry everything from house to stable.
3. Ride to new home.

I've heard you can't overburden a horse.

You could put everything in one container, then have a follower take everything in that container. I don't know if this works on PS3; on PC, it won't overburden your follower--although it might mark all your items as stolen, so test it first.

On the Xbox 360 that method did not work, everything was marked as stolen, I would think the PS3 would be the same.

I do not see why you need to remove everything from Breezehome, just take a follower and take what you need, make a few trips. If you get Dragonborn first and have completed it you can also get a bit of extra help carrying stuff.