Again, to emphasize, the full rites of initiation were only recently restored in the Eastern Catholic Churches (sometimes referred to as “Orthodox” Catholic).
I can speak specifically of the practice in the Byzantine-Ruthenian Church.
The Sacraments of Baptism and Chrismation (Confirmation) were administered together for some time, despite strong “Latinization” efforts to the contrary in the early to mid 20th century even in this respect. This was the practice of my generation and the manner in which I and my siblings were received in the Church.
The full Rites of Christian Initiation were restored just in time for the birth and reception into the Church of my first child. She was Baptized and Chrismated, and received First Holy Eucharist. all during the course of a Sunday Divine Liturgy (preferred, but not required - this all can be done separately, as well). While not strictly required, I’m a bit of a traditionalist, and we scheduled this near the 40th day after she was born.
All three of my children, and their Byzantine-Ruthenian Catholic cousins, were received into the Church in this manner.
They are and have been free to receive the Holy Eucharist at every Divine Liturgy, so long as they are properly disposed and able to receive without incident (most parents usually wait until the children are three or so, to avoid any accidents in the reception of the Eucharist).
We do prepare the children for their First Solemn Penance at the same time and age that their Latin Church counterparts are preparing for First Holy Communion (my youngest is preparing this school year). While these children receive the Holy Eucharist first among the congregants and together as a class on a Sunday in May (traditionally), the emphasis is placed on their penitential preparation and the completion of their first acts of contrition, rather than on the reception of the Holy Eucharist, as they have already been graced by participation in that sacrament.