Hi H.,
We are moving in a few weeks too, and the silliest thing ever to do is BUY boxes!!! When we moved from Seattle to LA, I went to a store called Fred Meyer, which is like Target, or maybe HEB in your area and I went to the grocery department- They gave me over 50 bananna boxes, which do have a top and bottom, but they also have a little open square in the top of them, but they come with a pretty thick cardboard inside them. I just used a box cutter to cut out the same size as the whole and covered it with the cardboard. I also went to furniture stores, like Costco home, or any furniture or lighting store and asked for boxes, there you can get boxes the size of wardrobe boxes and lots of different sizes for some of the odd sized objects you may be packing. The grocery store is your best bet though, especially if your local store may happen to know you. Good luck with your move, and don't pay a PENNY for boxes!!
Take care,
S.