There are many names given in Scripture to a Spirit or Spirits sent to live with and, most especially, live within those who have received the salvation inherent in the Gospel. This is not an exhaustive list but a representative list only and edited additions are welcome.
And I will ask the Father, and he will give you another Helper, to be with you forever, even the Spirit of truth, whom the world cannot receive, because it neither sees him nor knows him. You know him, for he dwells with you and will be in you. - John 14:16-17
For it is not you who speak, but the Spirit of your Father speaking through you - Matthew 10:20
And because you are sons, God has sent the Spirit of his Son into our hearts, crying, “Abba! Father!” - Galatians 4:6
You, however, are not in the flesh but in the Spirit, if in fact the Spirit of God dwells in you. Anyone who does not have the Spirit of Christ does not belong to him. - Romans 8:9
Or do you not know that your body is a temple of the Holy Spirit within you, whom you have from God? You are not your own - 1 Corinthians 6:19
Just in these five verses alone we have 7 different names or titles for this "sending": Helper, Spirit of truth, Spirit of the Father, Spirit of his son, Spirit of God, Spirit of Christ, and Holy Spirit.
Do Biblical Unitarians understand multiple names for just one Spirit, multiple names for several different Spirits, individual names of individual Spirits, or something else?