Cardboard boxes are not the only available packing container. You can use your already owned containers like duffel bags, plastic storage, suitcases, and garment bags, and so on. Fill up these items first if you are moving them to the new home.
You can also rent reusable plastic boxes for your move to substitute for the eco-friendly cardboard box. You can have it delivered and also picked up by BungoBox and ZippGo immediately you call them.