For planning your move to Berlin you need to decide whether you want to make use of a moving company or not. If you want to assign the move to a moving company you should request different offers from different companies as soon as possible (three different offers are sufficient). Calculate time buffers for your move. The moving company needs time firstly, for making you an offer and secondly, for disposing your move. The moving company will take care of everything, you only need to be on time on the moving day.
If you are planning your move alone, you should bear in mind that you need space in front of your house for the moving truck. You can request to set up a no-parking zone there for the day of your move. However, you have to request this at least 10 days beforehand.