First of all, welcome and I hope you enjoy your visit here!
Questions: What is the disposition of Orthodox Christians towards visitors? How should I dress? I certainly don't want to underdress but I don't want to be way overdressed either. What should I expect and what will be expected of me? Are there certain titles, greetings, and formalities I should be familiar with first?
I've tried to read a lot about Orthodoxy and what the people do, but I wanted to ask a community of Orthodox people as well. I don't want to ensure that they understand that I am not some random wanderer but someone who is very serious about this.
Any input would be appreciated.
For your first visit I'd say to dress formally, but not necessarily full on suit and tie. If the people there dress casually, you can just adjust to it afterward but you don't want to go in way underdressed (overdressed is always better, I'd think). I don't think there are any titles or greeting you'd need to know. If you haven't already, read this: 12 Things I Wish I’d Known…
by Frederica Matthewes-Green, it's great introductory material for inquirers.
1. The current church we are in woudl suffer deeply if we left quickly. I want to follow what is right but also keep our moral obligations to our current group.
2. My being unavailable to help my wife adjust 50% of the Sundays is also a consideration.
My advice would be to make your transition to Orthodoxy slow. Don't immediately cut ties with your church - take it slow! If you decide to one day become Orthodox, then take time to fade out of your previous church duties before becoming a catechumen.
For more precise advice, perhaps this: Go to the Orthodox church once a month, once to your current church, and let your wife decide to go to either church on the Sundays you cannot attend with her. Repeat this cycle and adjust as you desire until you decide.
I don't know the OCA mission you'll be visiting, but know that it is a mission - so it's small! If you haven't already looked at their pictures, then you should go ahead to get an idea. Their website also says they have a sizable body of converts from other Christian confessions so you should be pretty welcomed.
I hope I've been of some help. And again, welcome and I hope you and your family find the Orthodox Church home!