Looking for a printable shiva minyan liturgy? There's one at the end of this post.
I almost always begin a shiva minyan by telling a story about what we're doing and why we're doing it. (Shiva means seven and minyan means the group of at-least-ten who gather together to pray; a shiva minyan is a prayer gathering during the week called shiva, the first week after a loved one's burial.)
The custom of the shiva minyan came about, I explain, at a place and time where it was assumed that all Jewish men considered themselves obligated to pray three times a day. (This often draws forth a chuckle from the room, because we know that this is not how most of us in the room approach our prayer lives.) Imagine that you have the custom of going to shul every day: both because you feel metzuveh (commanded / obligated) to daven (pray) in community, and because you want to help the community make a minyan, the quorum of ten which is required for our call-and-response prayers, among them the Mourner's Kaddish.
Suddenly your life is ruptured by loss. A loved one dies. Now your days feel strange and measureless as you navigate this new landscape of aveilut, mourning and bereavement. The sages of our tradition recognized that in the wake of a loved one's death, the mere prospect of getting dressed nicely and leaving the house may feel completely overwhelming. So during the first week of mourning, the minyan comes to you. The community comes to your home; they bring prayerbooks, they bring food, they sit with you and listen to you and daven with you so that you can recite the Mourner's Kaddish in the embrace of loving community.
A shiva minyan, in other words, is intended to be something to soothe and comfort the mourner -- not yet-another-thing for the mourner to worry about doing, or doing "right." It's not supposed to be an onerous obligation; it's supposed to remove the onerousness from the obligation which one has already taken on, the obligation of daily communal prayer. But for those who don't have a practice of daily communal liturgical prayer, and/or who may not be especially comfortable with the Hebrew of traditional Jewish liturgy, the prospect of a shiva minyan may seem daunting. It may feel like an unwanted obligation, or be a source of discomfort, which is exactly the opposite of its purpose.