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Are you talking about full boxes suitable for shipping or just old boxes to throw stuff in to make it easier?
Don't know about the former, but for self-moves where we didn't care if the box had a top (and just threw our books/kitchen stuff/etc. into), I've gotten a few boxes from Gordon Food Service (GFS) before. You might be able to get a few from Aldi too.
I have found that copy paper boxes work well for moving.
They are a good size, generally with handles, and can support a fair amount of weight in proportion to the size of the box. (Since they normally hold reams of paper.)
If you or anyone you know works in a large office, they might be able to snag a few for you.
When moving kids to college I went to the liquor store and asked for boxes. They were great. And copy paper boxes are sturdy and hold lots of stuff.
Craig's list and Freecycle oftem have free moving boxes posted.
egg boxes from the locals grocery store daury department are great - ready made handles too!!
should read from the "dairy" department - I hit "post" too fast!!