Hi Macha
Former Omaha-an here, now sadly exiled to Washington state, but hoping to end up back home at some point in the next few years.
I inquired, was baptized in, met my husband, and later married in, St. Mary's, at the 103rd and Fort area. In my opinion, it's the best one for inquirers to go to - all English, plenty of friendly converts.
I went to the Serbian one several times and it was very nice, but the priest's accent was so thick I couldn't understand, even though it was mostly in English. (He's a wonderful, saintly man, just a little hard to understand.) The people there were friendly, but it's very ethnic.
I haven't met the new priest at the Western Rite (we moved here 4 years ago), but we loved visiting the Western Rite once in a while; we just preferred the eastern Rite.
I didn't know very many people at the Greek church; the original one is in a pretty bad part of town and from my understanding, they've started a new one out in the boonies (279th and Dodge or so? I know all this second hand, haven't seen it myself, having been gone so long. )
I'm pretty sure a new OCA church started there after we moved, too - I can picture the part of town its in, but can't remember the crossstreets. Don't know anything about it other than the OCA priest in Lincoln founded it.
Of course, you may also be talking about Lincoln and none of the above applies

. I know bits and pieces about the parishes there, too. If you have any questions, please feel free to pm me.