The facilities are designed to accommodate the elderly and are inherently safer than the home. Independence of the senior is encouraged. Staying at home is usually the first choice of a senior. It is known and familiar. Moving out is in some ways an admission of not being as able as one once was.
Seniors are adept at appearing to be more able than they actually are.
Many seniors assume that any other choice will be horrible. You unfortunately have the obligation to be realistic. If it's Mom or Dad, you may feel the emotional obligation to follow their wishes. In addition, a large part of your life has been spent receiving guidance and advice from them. It is a significant change to be in the role of making decisions for them.