My method is to #1, rent storage shed right away.
Then I start packing breakables first. Include dishes, glasses, kitchen stuff, knicknacks, etc...The reason I pack those first is because I want to be careful with them and at the beginning of packing you are not rushing and being LESS careful with things than you are when you are near your closing date.
Get your whole house down to the absolute bare minimum for operation.
Once we get a load then we put it at the storage shed. If we have to rent more than 1 shed, we do it. If we are renting another one it means that we are kicking butt on packing.
Once you are down to the bare minimum then you make sure to mark those boxes as "Bare minimum stuff" or label with details.
Set up your bed first thing once you move all the boxes, furniture, etc. for that day. You will be doing a lot of cleaning and be very tired. It is nice to be able to jump in bed when you are done for the day.

Make sure to have clean sheets, pillows, etc...easily accessible.
Good Luck!
