Magsymoo, we moved from a larger house into a much smaller rented, we made sure that all this one had in it was a cooker/hob. I left my white goods in with the sale of my house and just bought a new cheaper washer and fridge freezer to have here. We made sure this house had a garage, so we obviously unpacked furniture and cutlery, kitchen stuff etc, but a lot of our pictures, and ornaments, basically all the stuff you don't NEED for everyday life is still in boxes in there , ready to go whenever we choose.That is half the trouble when you move, it's not the essentials of packing and furniture etc that takes the time, it's the things like thew ornaments and sentimental stuff. Don't be afraid of 'Having to pack it all up again' to move again, it will never be as bad as your big move from your larger house. Get rid of as much stuff as you can NOW and then you won't have to worry about carting it or storing it. Also if you rent a place with a good enough garage, you are not having to pay storage costs, same with unfurnished as your furniture can mostly go in the house, and it is keeping it aired and used.
I hope this is of some help, I know it's really daunting thinking of doing it all, but I would always go unfurnished, less chance of any damage to something belonging to the landlord, and room to put your own temporary stamp on the place. Don't forget, you will have to feel comfy there for as long as it takes to find somewhere. I speak from experience !