Usually, there are too many Hosts to consume. I take them to my side chapel, where the Altar of Repose has been set up for Holy Thursday and I leave the Blessed Sacrament there. Then I lock the chapel until the end of Holy Thursday Mass. That way, when people enter the main church, they see that the Tabernacle is empty.
In some churches, the priests will place the Eucharist in a locked closet in the sacristy until the Hosts consecrated from Mass are reposed for Holy Thursday night at the Altar of Repose, and then will take the Eucharist consecrated before and place It with the Hosts that are newly consecrated from Holy Thursday Mass.
God forbid, the Hosts that are present on Wednesday are not supposed to be “disposed of” by mixing them with water and pouring them down the sacrarium sink of the sacristy, but with the liturgical ignorance of some of the clergy, this might be going on as well. And this is done in spite of the fact that reminders are occasionally sent out that the Blessed Sacrament may not ever be disposed of in this way. In a very rare case, a chapel that is hardly used may be found with Hosts that were consecrated weeks ago and have become moldy, in which case it is alright to mix them with water so that they begin to dissolve and then pour the water down the sacrarium sink.
Have a blessed Holy Week and Sacred Triduum friend. And may Easter Resurrection find your soul rejoicing as you anticipate your own future glory with the Lord Jesus.
God bless and take care, Fr. Angel