The Apostles' Creed was famously recited at the founding convention of the BWA, probably not so much as a confession or creed for the participants as to assure those outside our denomination(s) of our basic orthodoxy.
The Apostles' Creed is typically Western, i.e. Latin/Catholic as opposed to Greek/Orthodox. I don't know that the Eastern churches have any objection to its contents, but it's not part of their basic tradition (and they don't go in much at all for anything that's
not part of their basic tradition).
You might want to consider your personal beliefs about the interrelationship of the Persons of the Trinity, and specifically "where or Whom the Holy Spirit proceeds from", before deciding whether to participate in reciting the Nicene Creed; one of the famous points involved in the Great Schism just preceding the Crusades—the schism that left the Roman Catholics and Eastern Orthodox completely separated from each other—had to do with the Catholics' introduction of an added word ("Filioque" in Latin: "and from the Son") into the Nicene Creed. This creed, which came out of the Nicene church councils of the fourth century where orthodox Trinitarianism won out over Arianism (in which the Son and/or Spirit are not equally "God" with the Father), originally said that the Spirit "proceeds from the Father". When the Western churches started saying "proceeds from the Father
and from the Son", it was just the last straw. No
wonder the Eastern Orthodox left in a huff.
There have been Baptist schisms that weren't much more christlike (see the stealing from the disabled thread) than this, I daresay. But not many
...
There is also the question of whether one says "We believe..." or "I believe..."; I have much less difficulty affirming "we believe" about things wherein I have my doubts than I have in saying "I believe" in such cases. Though I suppose I could just say "I believe..." and then append "help thou mine unbelief" at the end.