Have you investigated
PODS? They will drop a container off at your house or apartment.. .you box and pack everything.. you put everything in the container... and they will come pick it up and drive it to your location...
When it comes to moving, I'm a full service kinda gal- I don't see the point in pack it yourself - my time and back are more valuable than saving a few bucks... but i have heard good things about PODS..