Regardless of the whether you rent or own, moving typically involves the same actions:
The amount of stuff that most people accumulate, depends on their ability to store it when they are not using it.
When you want to relocate your place of residence, your only option is to pack up your possessions and move.
When you arrive at your new location, everything must be unpacked and stored in its new location.
In most cases you will need to recruite some friends or family, then rent a truck to move your stuff. You could hire a moving company, but this is typically a big expense that many people look to avoid.