This may seem obvious — you need boxes and packing materials to load up your stuff, whether you’re driving it in your car or you’re renting a U-Haul.
Some of your providers, like your cable or utility company, may even charge cancellation fees if you aren’t transferring the services.
If you’re renting, you’ll be asked to pay a security deposit. Bringing a pet to your new place? Most apartment complexes charge an up-front pet deposit.