You should make sure you know what is coming, the approximate number of boxes and all furniture pieces. Know where the movers likely going to be parking their vehicle, to know what path they will need to take to get in and out of your residence. If there is going to be a key exchange the same day try to narrow down the timeline of when that will happen. This way you know how much if any downtime you could be facing that day. This is helpful for both the movers and you to plan accordingly to limit downtime as best as possible and make your moving experience as efficient as possible.
Lastly expect the unexpected. Have meals that day planned in case of any unforeseen delays, know who to call in the event of something being delayed through either paperwork issues or unexpected physical delays to the move. 99% of moves go according to plan but life happens, and preparation is your best tool to ensure that your moving day goes as smoothly as possible.