Once you've closed on a property, it doesn't take long at all to transfer the property to your name.
In terms of how long it takes to move, well, that depends. If you're doing all the packing, moving, and unpacking yourself with some of your friends and family, it can take a lot longer. In my experience, it's worth hiring movers to get it all done in one shot. They have the muscle, experience, equipment, and knowledge on how to clear your house in a day or less so you can focus on other aspects of your move.