Get information about customs from the country you are going to. The rules will not be the same for European Union countries than for others for instance. Some items or specific situations have to be taken into consideration when going through customs. Vehicles, alcohol or transfer to a second residence can disrupt this process.
Also, do not forget to call an insurance company to cover any issues related to the move. There are several types of insurance. It is important to pick the one best adapted to your needs and budget.