The problem with rented apartments, houses is always the used furniture. While a used cupboard can be ignored, a badly used bad can't. I am living with a back problem and can't be indifferent to a bad bed. The pillows and blankets are the same category. I can't sleep when the pillow is not right, not to mention if it's dirty or badly used.
I don't know what would be a good solution to your problem as you can't carry all your stuff around or buy new ones every time.
I'm really sorry you have to go through all this, must be frustrating.