To Joseph Hazen: Lets say I joined the Byzantine Catholic church. Since my father is Roman Catholic I would have to follow the rules of fasting from the RCC and not the BC? And are the rules of the BC just as strict as the EO?
I guess I'll wait, but I can answer this for you if you wish.
To Anyone: Is there an official prayer book in the BC and which Bible do they use? Also, since I was baptized as an infant in the RCC would I have to be rebaptized in the BC? Do the BCs refer at all to the RCC catechism? This is all very confusing.
There is no official prayer book for the Byzantine Catholic churches (they simply use the Horologion and the text of the Divine Liturgy of St. John Chrysostom among other books the Eastern Orthodox also use, sometimes very slightly modified) nor is a particular Bible version (in English anyway). The "official" Bible version for BCs is the Septuagint and the Greek NT (or a Slavic translation thereof), much as the Nova Vulgata is the "official" Bible for the Holy Roman Church. But even still that really doesn't mean much in practical terms.
Since you were baptized in the Holy Roman Church, the Byzantine Catholic churches (any of them) will most definitely *NOT* see any need to baptized you. All the churches of the Catholic communion are held together by the bond of love, faith, and communion with Rome. Therefore all the churches recognize each other's sacraments, liturgies, and theology as completely valid. If you were also Confirmed in the Holy Roman Church, the Byzantine Catholics would not re-Chrismate you either for the same reason.
Yes, the Catechism of the Catholic Church was created to be a "universal catechism" which all Catholics (and even non-Catholics) could use. It's kind of a "standard." Even still, the CCC leans towards Western Catholicism since it was composed largely by the Pope and Roman bishops. This does not mean that it contradicts Byzantine Catholic faith, merely that it uses terminology and emphases that BCs might not use. Although, to be fair, we Romans don't have a fully "Roman" catechism in the CCC either since it incorporates
many Eastern ideas; hence the use of the CCC as a "universal catechism."
Part of the purpose of the CCC was also to provide a basis for "local" catechism to be published. Thus, many Byzantine Catholics use Byzantine catechisms that are prepared and published by the Bishops/Eparchs of the Byzantine Catholic churches. One of the best is the "Light for Life" catechism (three volumes) published for American Byzantine Catholics (Melkite, Ruthenian, Russian, Ukrainian, Greek, et al.).
But, given that Byzantine Catholics are
Eastern Christians, they generally don't use catechisms as much as Roman Catholics. In Eastern Christianity the elaborate and repetive nature of the Divine Liturgy, the Horologion, and other aspects of liturgical and pastoral life in the Eastern Churches functions as a kind of "catechism" in its own way. We Romans, with our liturgical tradition of "noble simplicity" do not have this same mechanism. Our Masses and Divine Office, while noble and beautiful, are much shorter, sober, simple, and practical than the Eastern liturgical tradition. Hence, the Roman Rite doesn't function as a teaching tool as effectively as the Eastern Rites and Churches do.
Don't let yourself be too confused. The hugh diversity of rites in the Catholic Church can be daunting at first, but in time it makes more sense as you aquire more knowledge. Anhelnya often comes to this forum (she is a Ukrainian Greek Catholic) and she might be able to offer more assistance.
God bless you as you learn more about Apostolic Christianity in both the Catholic and Orthodox Churches!!!