elderly care facility; facility for the elderly
A broad term covering nursing homes, assisted living, and other residential or day-service facilities for older adults.
My grandmother lives comfortably in an elderly care facility.
This area lacks facilities for the elderly.
高齢者施設 is a broader, formal term covering many kinds of elderly-care facilities, while 老人ホーム is the everyday word for a residential home for the elderly.
Compound of 高齢者 (elderly person) and 施設 (facility).