Public Sleeping

Symbia is far more welcoming of bi-phase sleep cycles than Terra. Most cities have multiple public sleeping areas, ranging from a platform high in a tree, to a near-underground burrow. They are stocked with washable pillows and blankets, and typically several sizes of round cushion mattresses (which are so common that one of the affectionate names for Luna is "The Cushion"). 
If using a public nap-space, it's not necessary to change the linens unless you drooled or sweated profusely in them or otherwise got them dirty. Symbians don't have a taboo against using a cushion someone else used first, any more than Terrans would pause before sitting in an upholstered chair.