Know the Rules: Legal & State Regulations
The transportation of plants is carefully regulated in many parts of the United States. The first step in figuring out how to move houseplants all the way across the country is to look into legal restrictions and moving company rules.
Can Movers Move Plants?

Unfortunately, most moving truck and shipping container companies don’t transport plants. Plants are usually not allowed on a moving truck due to certain state laws and possible liability. At the end of the day, it’s just too much of a hassle for the movers to handle living things.
And don’t try to get sneaky and hide your plants among your other belongings, either. Doing so could void your contract with the long-distance movers and would invalidate any protections if the plants lead to a mess that damages your things.
That said, it’s still possible to move your plants long distances. It just requires proper planning and execution.
Moving Plants Cross-Country: The Legal Lowdown

You may not think moving plants across state lines comes with legal pitfalls, but it definitely does.
States that rely heavily on agriculture — specifically, California, Texas, and Florida — are very wary of allowing in any pests or invasive species of plants that could destroy crops. Several have strict regulations around bringing in plants from out of state. California, for example, doesn't allow you to bring any type of citrus plant from another state. Florida also prohibits citrus unless you have a special permit.
The United States Department of Agriculture even bans the transport of certain plant pests, including witchweed. If you really want to know all the rules, you can check out the USDA's full list of regulated plants within all 50 states and U.S. territories.