Although the faiths of the two Church’s are similar, they are not the same.
They have completely different ecclesiologies. Whereas the Catholic Church defines its unity in the person of the Pope, the Orthodox Church defines its unity by the faith itself, which means to people who are Orthodox keeping the faith that is handed down is of utmost importance and anyone, even bishops, can and will be challenged if they stray.
The Orthodox Church tends to be less stringent on specifics, the example already given is the real presence, where the Catholic Church has dogmatized how it happens, the Orthodox Church doesn’t particularly care and simply holds that the Eucharist IS Christ.
Another way this shows is canon law, while there is a body of canon law in the Orthodox Church, it isn’t a true legal document like the Catholic Code of Canon Law is, and the spirit in which the law was written (as interpreted by the Fathers) is considered far more important than what it actually says.
The initial reason for the schism between the two Churches was initially based on Western attempts to assert authority over the East (whether this was legitimate or not is the great debate), but over the last two centuries some very major issues regarding the faith, through dogmatization of certain practices by the Catholic Church, have come to the fore (at least from the Orthodox perspective).
That said I recommend you visit both Churches, and talk to priests in both Churches. I urge you not to give in to the lie that Eastern Catholics and Eastern Orthodox are the same thing. We are very similar (moreso even than Eastern Orthodox and Western Catholics), and while I do hold them in a certain respect, few with much knowledge of the subject, on either side, would pretend it is the same thing.
I wish you well on your journey.