First, there's no such concept within Judaism as separation from God, because Jews believe God is everywhere. It can be written הבדלה ×ž× ×”××œ×•×§×™× (havdalah min ha-elohim), but that will look very strange to anyone who can read Hebrew.
Our God = Eloheinu (אלהינו)
There is no Hebrew word for "Trina god". (I can't even tell what that phrase is supposed to mean in English.)
What you are describing is called Biblical Judaism.
There are many Hebrew words for God. The most common is eloheem (אלוקים)
There is no Hebrew word Jehovah. This is a Christianized version of the four consonants of God's true name. See Tetragrammaton for more information.Most (but not all) words referring to God in Hebrew are masculine, but this is largely due to the grammar of Hebrew. In Judaism, God is not literally considered a male with male reproductive functions.
jehova is a Christian word for God, and is not real Hebrew. Shalom is the Hebrew word for peace.
with God = im Elohim (עם אלוקים)
Jireh is not a Hebrew word. There no J in Hebrew.
There is no single Hebrew word that means "gift from god" To say this in hebrew would be matanat ha'el (×ž×ª× ×ª האל)
Depending on context, the Hebrew word אל (pronounced "el") means god, God, to toward, for.
jehova is a Christian word for God, and is not real Hebrew. Shalom is the Hebrew word for peace.
lashem = "to god"