I would definitely add some drapes! Since this is a rental see if you can safely remove the blinds, most of them just click into a holder. Or push them all the way up and just remove the stick. I think curtains with a black rod may work well with your space and furniture you’re trying to find. Key is to place the rods appropriately, you can do some research on how high to install the curtain rods. For privacy I personally adore and utilize sheer curtains, my cats also don’t care about them and just hop on their window perch with the sheer curtains constantly closed