I am a cradle Ruthenian Byzantine Catholic married 30+ years ago to a Roman Catholic wife. We were married in a Latin ceremony in my wife’s home parish (the cathedral church of the Latin diocese in which we reside), with the prior written permission of my own Byzantine Catholic eparch. My wife chose to retain her canonical enrollment in the Latin Church upon our marriage and I retained my own Eastern Catholic affiliation.
Our children (all three) were received into the Byzantine Catholic Church as infants through the Holy Mysteries of Baptism and Chrismation, the most recent of which was +/-18 years ago (as of that time the Byzantine Catholic Church had not yet returned to the practice of communing infants in the same initiation ceremony with baptism and chrismation). Even if they had been baptised in the Latin Church, however, they would still be canonical Byzantine Catholics, as Catholic Church Law specifies a patrilineal path with regard to the sui iuris Church enrollment of children in an inter-Church union (the kids are what the father is, regardless of where the baptism occurrs).
Our children attended religious education classes through the local Latin Church and first received Our Lord in Holy Communion along with their Latin classmates. All three also participated in confirmation preparation along with their classmates, and two of them even participated in the confirmation ceremony itself, with pre-notification given to the bishop to give them his blessing only, rather than administer the sacrament when they approached, since they had already been confirmed as infants.
As they learned of the Latin Church through formal RE classes, I “filled in the blanks” with regard to their Byzantine Catholic Church affiliation on my own, along with regular visits to my own (and their) Byzantine Catholic home parish. Throughout our years as a family our worship practices have been (and still are) split pretty much 50/50 between the Latin Catholic Church and the Byzantine Catholic Church. This has NEVER posed a problem with regard to my kids’ identity as Byzantine Catholics - quite the contrary, in fact! They had the advantage of growing up knowing first-hand that the Catholic Church is much more than just the Roman Catholic Church, and they took pride in sharing that information with others. For example, throughout their religious education classes they continued to cross themselves right-to-left as is proper to members of the Byzantine Catholic Church (even when told that they were doing it “wrong”) and they even took pride in the fact that they were the only ones in their respective early RE classes who had already been confirmed (this, in itself, turned out to be a “learning experience” for many of their RE instructors who had no clue that Catholic children could possibly be confirmed as infants!). We, as a family, found many opportunities to share Eastern Catholicism with our Latin brethren who, otherwise, would very likely have never known that Eastern Catholicism even existed!
This is what’s great about our Catholic faith… ANY Catholic can freely worship and participate in the sacraments of ANY sui iuris Catholic Church at any time! Unity, not uniformity!