I am a very happy, cradle Melkite Catholic. Although I make it a point to periodically attend Latin Rite Masses, I regularly attend Mass in my own, Melkite Rite Catholic church.
I recommend that, if possible, you attend a Melkite Rite Mass.
My understanding is that we are doctrinally identical with regard to infallible Church teaching, and there may be some differences in non-infallible Church teaching.
Although we are similar to the Orthodox in many ways, we are in communion with the Pope. We have a Vatican flag in my church, and I have one in my house as well, just to make it clear where I stand.