Making your rental cozy can be achieved by focusing on small details that contribute to comfort. Begin with softening hard surfaces by adding area rugs or carpet tiles in key areas such as living rooms or bedrooms. Introduce warm lighting through the use of table lamps or floor lamps to create a cozy atmosphere during evenings. Utilize textiles like plush blankets or decorative throws on sofas or chairs for added warmth and comfort. Consider incorporating elements that engage multiple senses such as scented candles or diffusers for soothing aromas, as well as soft background music playing from speakers placed strategically throughout the space.