If you get hold of the Divine Liturgy : An Anthology for Worship from the Sheptitsky Institute in Ottowa
scroll down this page [sheptytskyinstitute.ca] you will find a couple of sample pages. A lot of the content is in English but the Liturgy is also , in one section, in Ukrainian [ L hand page ] and English [ Right hand page ].
This will help you get to grips with the responses - if you can set your Keyboard to type in Ukrainian Cyrillic , you could then put the phrases into Google Translate and pick up the pronunciation that way .
Honestly the best way of learning the responses to the Liturgy is listening to a good careful speaker and repeating them to him till he is satisfied with your attempts. If your teacher is as particular as mine - it will be hard work
