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Ah, but even in Hebrew, one of the words for God is plural, is it not? Elohim?

No, that is not correct. Its ending is superficially plural, but the word itself is singular. You are familiar, I presume, with subject-verb agreement in grammar? 'Elohim' always is accompanied by a singular verb form, not plural. Also, consider the case of Exodus 7:1, where God says that Moses will be a god to pharaoh. The word God uses about Moses is 'Elohim'. And yet we don't believe that there were a multiplicity of Moses's. Finally, there are other words in Hebrew that are similar: chaim means 'life', not 'lives'.

Ah, but the phrase the All-Holy Trinity is always used as a singular in Orthodox Christian usage--the appropriate pronouns are He and Thee. Thus our priests often say "For thou art a good God, who lovest mankind and to thee do we ascribe glory, to the Father, and to the Son, and to the Holy Spirit..." And the assembled laity at the end of the Liturgy say (as I quoted before) "Worshipping the Undivided Trinity, who has saved us."

The difference seems to be that we understand this oddity of a plural which takes singular verbs as having a different theological import--we see it as indicating God's transcendence of the dichotomy between unity and multiplicity, you choose to see only the verb's number as significant.