You can also hang hammocks from walls or ceilings. Be sure to use the appropriate hanging hardware to work with studs in drywall, wood surfaces or masonry; or ceiling beams (exposed or not). A hammock chair has unique hanging hardware for suspension from the ceiling. If you have any questions about how to proceed with mounting your hammock or hammock chair onto the interior structure of your dwelling, check with the supplier.
Whatever your storage methodology, upkeep is key. The general rule of thumb for outdoor furniture is to apply oils and sealants about every once to twice a year, depending of course on your individual concerns, temperature, climate, etc.