Space is a special and generally use term which you will hear during the whole moving process.

There should be enough space in the moving van for all your boxes to be arranged.

There should be enough space in front of your home,nevermind if it is an appartment or house,for the moving van to stop and the mover to load your pakages.

There should be enough space for the movers to go around your house with the full boxes in hands.

There should have enough space for your own luguage in the car,for the dog (or cat) ,for some plants ,and for your family of course.

Not at the last place there should be enough space for your household in your new home.