By canon law the Blessed Sacrament must be reserved in cathedral and parish churches, and in churches or oratories attached to the houses of religious institutes.
The Eucharist may be reserved in a bishop’s chapel and, with permission of the local ordinary (usually a bishop), in other churches, oratories and chapels.
The law in all cases requires that the sacrament be kept in a church, chapel or oratory. And there are other requirements about a fixed and solid tabernacle.
The law also requires that someone be responsible for the custody and care of the Blessed Sacrament, and that a priest celebrate Mass at the place of reservation with some frequency. That is to make sure the hosts do not age and become stale or moldy.
Notice, the law does not permit reservation of the sacrament in private homes. The purpose of reserving the Eucharist is to have the Blessed Sacrament available as viaticum for those near death, Communion outside of Mass and adoration of the Lord present in the Eucharist.
Reservation in private homes does not very well fit those purposes, and it is difficult to guarantee the Sacrament will be treated with proper respect.