Glory to Jesus Christ!
Sorry, I should’ve mentioned the rite. It is Byzantine.
Looks like you’re talking
Ruthenian or Ukrainian
Monica4316 gave some useful specific info. I wouldn’t worry about sticking out. They are probably used to visitors.
The
Church Etiquette section of St. Elis’ website is very useful. You might find
12 Things I Wish I’d Known…First Visit to an Orthodox Church helpful. Although the author is Orthodox, our Divine Liturgy is the same.
When we enter the temple and when we leave we usually
venerate the Holy Icons which are placed for that purpose by crossing and bowing and kissing the hand or foot, never the face, so not wearing lipstick is important. I don’t know about the tradition in the Church you will visit but in our Church when the priest walks past during the
Great Entrance many will grab the hem of his vestment and kiss it, again, a reason you won’t, hopefully, see lipstick on the women. If they have pews

then nix that part of the Great Entrance.
If they have service books (a book with the Divine Liturgy text in it) I encourage you to avoid following in it, and instead just watch and listen, and join in when you can. The DL is very repetitive and there are lots of repetitions of such as “Lord have mercy”. The wikipedia page on the
Divine Liturgy is very good, and links to many details of the Liturgy if you want to read up ahead of time. The two main components are the same for the DL as for the Roman Rite: Liturgy of the Word/Catechumens, and Liturgy of the Eucharist/Faithful.
If the Divine Liturgy is listed as 10:00AM know that by then the clergy have already been busy for about half an hour with their
entrance, vesting prayers, and Liturgy of Preparation. Hopefully someone will be chanting the hours whilst the Liturgy of Preparation is going on. If the iconostatis is not solid then you will see the clergy engaged in the Preparation. In the churches I go to this isn’t visible and the clergy are only sometimes audible.
Sat. evening Vespers is really an integral part of the worship and would be good to attend. Being a small parish they may not have Vespers. The fasting practice is to not eat after dinner Sat. night, unless you have need for health reasons to eat or drink, other than water. Likely they will have a meal together after DL and you should plan to stay for that.
If you poke around in the Eastern Catholicism section you will see plenty of old posts there asking about visiting an EC parish for the first time. Hopefully the mods will move your thread over to the EC Section and then more people will see it there and respond.