All our prayers are Trinitarian. They are to the Father, through the Son, in the Holy Spirit (and, because the saints are in the Holy Spirit with us, we can ask them for intercession as well, but ultimately it remains oriented toward the Father, through the Son).
Jesus is God, OP. The persons of the Trinity are not independant or separate. If you pray to one person, the two others are necessarily implied. If you pray to Jesus, then you pray to the Jesus Who makes intercession for us (Hebews 7:25), Who is the sole mediator between men and God (1 Timothy 2:5), Who is our advocate (1 John 2:1). He is the Son of the Father and the Holy Spirit rests in Him. So your prayer is necessarily Trinitarian.
You cannot "ignore the rest of the Trinity", as you said, unless you are an Arian or a Macedonian (or a Sabellian who simply does not recognize the three persons are even distinct at all to begin with).
If you still feel worried that in your prayers you're forgetting the Son's trinitarian relationship to the Father and the Holy Spirit, you can always pray the introductory prayers that the Orthodox pray at the beginning of each service and in their prayer rules:
>Glory to you, our God, glory to you.
>Heavenly King, Comforter, the Spirit of truth,
>who are present everywhere filling all things,
>Treasury of good things and Giver of life, come and dwell in us.
>Cleanse us of every stain, and save our souls, gracious Lord.
>Holy God, Holy Mighty, Holy Immortal, have mercy on us (3).
>Glory to the Father and the Son and the Holy Spirit, now and forever and to the ages of ages. Amen.
>All holy Trinity, have mercy on us. Lord, forgive our sins. Master, pardon our transgressions. Holy One, visit and heal our infirmities for your name's sake.
>Lord, have mercy. Lord, have mercy. Lord, have mercy.
>Glory to the Father and the Son and the Holy Spirit, now and forever and to the ages of ages. Amen.
>Our Father, who art in heaven, hallowed be Thy name.
>Thy kingdom come, Thy will be done, on earth as it is in heaven.
>Give us this day our daily bread; and forgive us our trespasses,
>as we forgive those who trespass against us.
>And lead us not into temptation, but deliver us from evil.
>For yours is the kingdom and the power and the glory, of the Father and the Son and the Holy Spirit, now and forever and to the ages of ages. Amen.