All great advice so far!
It would be good to simply do what everyone else is doing in the church since each parish will do what it wills. The Saint Elias church website is excellent - but that parish is an exemplar of what an Eastern Catholic parish should be and most parishes aren’t like that.
You may cross yourself in the way Roman Catholics were instructed to cross themselves by Pope Innocent III - by bringing your thumb, index and middle fingers together and going to the right (that symbolizes Christ sitting at the Right Hand of the Father). The sign of the Cross is made frequently, like during a Tridentine Mass (which makes the sign of the Cross 54 times during the Mass, am I correct?).
Whenever the Holy Trinity is mentioned, make the Sign of the Cross and often with a slight inclination of the head or a neck bow afterwards.
If you go up to honour the icons on the “tetrapod” then make the sign of the Cross twice wiht a bow to the icons each time then move to kiss the icons (kiss the Hand of Christ or of our Lady and the Saints depicted there, never the faces, in imitation of the woman with the issue of blood who, in her humility, touched the edge of Christ’s garment and was healed). Then move back and make one more Sign of the Cross with a bow.
If the congregation kneels, then you kneel. If not, then . . . you know
You should report back to tell everyone here how it was . . .
Alex