Last time my wife and I moved, we spent a ridiculous amount of money on large boxes and totes and stuff for packing. After that, I definitely feel a bit of pain breaking down a large sturdy box for the recycling bin, but it's just not worth the storage space.
We do still keep boxes for high-dollar items that have special packaging like TVs and other electronics. Both in case we need to move them, and it generally bumps the resale price if you have original packaging.