The statements of the early Church Fathers regarding the doctrine of the Trinity (pre-Nicea)

I don't have quotes for the Holy Spirit, but here are some about Jesus: Ignatius (110 A.D.): "Ignatius, also called Theophorus, to the church at Ephesus in Asia . . . predestined from eternity for a glory that is lasting and unchanging, united and chosen through true suffering by the will of the Father in Jesus Christ our God”." "[T]o the church beloved and enlightened after the love of Jesus Christ, our God, by the will of him that has willed everything which is." "For our God, Jesus the Christ, was conceived by Mary according to God’s plan..." "Consequently all magic and every kind of spell were dissolved, the ignorance so characteristic of wickedness vanished, and the ancient kingdom was abolished, when God appeared in human form to bring the newness of eternal life..." "There is only one physician, who is both flesh and spirit, born and unborn, God in man, true life in death, both from Mary and from God, first subject to suffering and then beyond it, Jesus Christ our Lord." "I glorify Jesus Christ, the God who made you so wise..." "Being as you are imitators of God, once you took on new life through the blood of God you completed perfectly the task so natural to you."

Polycarp (135 A.D.): "Now may the God and Father of our Lord Jesus Christ, and the eternal High Priest himself, the Son of God Jesus Christ, build you up in faith and truth and in all gentleness and in all freedom from anger and forbearance and steadfastness and patient endurance and purity, and may he give to you a share and a place among his saints, and to us with you, and to all those under heaven who will yet believe in our Lord and God Jesus Christ and in his Father who raised him from the dead." Justin Martyr (born 100, died 160 A.D.) "And that Christ being Lord, and God the Son of God, and appearing formerly in power as Man, and Angel, and in the glory of fire as at the bush, so also was manifested at the judgment executed on Sodom, has been demonstrated fully by what has been said." "[T]he Father of the universe has a Son; who also, being the first-begotten Word of God, is even God. And of old He appeared in the shape of fire and in the likeness of an angel to Moses and to the other prophets; but now in the times of your reign, having, as we before said, become Man by a virgin..."

Aristedes (140 A.D.) "[Christians] are they who, above every people of the earth, have found the truth, for they acknowledge God, the Creator and maker of all things, in the only-begotten Son and in the Holy Spirit."

Tatian the Syrian (170 A.D.) "We are not playing the fool, you Greeks, nor do we talk nonsense, when we report that God was born in the form of a man.”

Melito of Sardis (177 A.D.): "The activities of Christ after his baptism, and especially his miracles, gave indication and assurance to the world of the deity hidden in his flesh. Being God and likewise perfect man, he gave positive indications of his two natures: of his deity, by the miracles during the three years following after his baptism, of his humanity, in the thirty years which came before his baptism, during which, by reason of his condition according to the flesh, he concealed the signs of his deity, although he was the true God existing before the ages."

Iraneus (185 A.D.): "Carefully, then, has the Holy Ghost pointed out, by what has been said, His birth from a virgin, and His essence, that He is God (for the name Emmanuel indicates this). And He shows that He is a man ... we should not understand that He is a mere man only, nor, on the other hand, from the name Emmanuel, should suspect Him to be God without flesh." "For the church, although dispersed throughout the whole world even to the ends of the earth, has received from the apostles and from their disciples the faith in one God, Father Almighty, the creator of heaven and earth and sea and all that is in them; and in one Jesus Christ, the Son of God, who became flesh for our salvation; and in the Holy Spirit... that to Jesus Christ our Lord and God and Savior and King, in accord with the approval of the invisible Father, every knee shall bend of those in heaven and on earth and under the earth."

Clement of Alexandria (200 A.D.) "For it was not without divine care that so great a work was accomplished in so brief a space by the Lord, who, though despised as to appearance, was in reality adored, the expiator of sin, the Savior, the clement, the Divine Word, He that is truly most manifest Deity, He that is made equal to the Lord of the universe; because He was His Son, and the Word was in God..." "The Word, then, the Christ, is the cause both of our ancient beginning—for he was in God—and of our well-being. And now this same Word has appeared as man. He alone is both God and man, and the source of all our good things.” 

Tertullian (wrote these 210-216 A.D.): "The origins of both his substances display him as man and as God: from the one, born, and from the other, not born..." "...that there are two gods and two Lords, however, is a statement which we will never allow to issue from our mouth; not as if the Father and the Son were not God, nor the Spirit God, and each of them God; but formerly two were spoken of as gods and two as Lords, so that when Christ would come, he might both be acknowledged as God and be called Lord, because he is the Son of him who is both God and Lord."

Origen (225 A.D.): "Although he was God, he took flesh; and having been made man, he remained what he was: God." Hyppotlis (circa 228 A.D.): "Only [God’s] Word is from himself and is therefore also God, becoming the substance of God.”  “For Christ is the God over all, who has arranged to wash away sin from mankind, rendering the old man new."

Novatian (228 A.D.): "If Christ was only man, why did he lay down for us such a rule of believing as that in which he said, ‘And this is life eternal, that they should know you, the only and true God, and Jesus Christ, whom thou hast sent?’ [John 17:3]. Had he not wished that he also should be understood to be God, why did he add, ‘And Jesus Christ, whom thou hast sent,’ except because he wished to be received as God also? Because if he had not wished to be understood to be God, he would have added, ‘And the man Jesus Christ, whom thou hast sent;’ but, in fact, he neither added this, nor did Christ deliver himself to us as man only, but associated himself with God, as he wished to be understood by this conjunction to be God also, as he is.”

Cyprian of Carthage (253 A.D.): "One who denies that Christ is God cannot become his temple [of the Holy Spirit]”   Gregory the Wonderworker (265 A.D.): "There is one God, the Father of the living Word, who is his subsistent wisdom and power and eternal image: perfect begetter of the perfect begotten, Father of the only-begotten Son. There is one Lord, only of the only, God of God, image and likeness of deity, efficient Word, wisdom comprehensive of the constitution of all things, and power formative of the whole creation, true Son of true Father, invisible of invisible, and incorruptible of incorruptible, and immortal of immortal and eternal of eternal. . . . And thus neither was the Son ever wanting to the Father, nor the Spirit to the Son; but without variation and without change, the same Trinity abides ever." Arnobius (305 A.D.): "Well, then,’ some raging, angry, and excited man will say, ‘is that Christ your God?’ ‘God indeed,’ we shall answer, ‘and God of the hidden powers’”  Lactantius (307 A.D.): "“He was made both Son of God in the spirit and Son of man in the flesh, that is, both God and man” (Divine Institutes 4:13:5 [A.D. 307]).

“We, on the other hand, are [truly] religious, who make our supplications to the one true God. Someone may perhaps ask how, when we say that we worship one God only, we nevertheless assert that there are two, God the Father and God the Son—which assertion has driven many into the greatest error . . . [thinking] that we confess that there is another God, and that he is mortal. . . . [But w]hen we speak of God the Father and God the Son, we do not speak of them as different, nor do we separate each, because the Father cannot exist without the Son, nor can the Son be separated from the Father."

These quotes are heavily borrowed from https://www.catholic.com/tract/the-divinity-of-christ, although the dates may be slightly different.