If you are moving to a different state, call your local US Department of Agriculture to check on regulations.
Many states have restrictions on certain kinds of plants.
These restrictions are usually to prevent the importation of of pests or insects that can destroy cash crops of that state. A couple weeks before you move, prune plants to facilitate packing. If you're not familiar with how best to prune, consult your florist or a plant book for instructions. A week before you move, kill any possible pests or insects on your plants. Then put your plants in the plastic bag, seal the bag, and place it in a cool area overnight.