What is the ruling on taking a loan from a private, non-Islamic bank to pay house rent and purchase furniture?

If the loan is interest-based (usurious), it is forbidden except in cases of necessity. Necessity is defined as the point where a person fears perishing or suffering severe harm to their life, limb, honor, mind, or wealth. Therefore, it is not permissible to borrow with interest to pay rent or buy furniture, unless there is a legitimate and recognized necessity. If you find an alternative dwelling or a permissible way to pay the rent, then it is not permissible for you to engage in an interest-based loan.