Hi, the hymns aren't placed in the Agpeya. The Agpeya is all you normally pray at home. If there's a church service (Vespers, Matins, Midnight Praise, Liturgy) then the hours (in the Agpeya) for around that time are prayed first.
For example, if you go for Vespers on a Saturday night, first the 9th, 11th, and 12th hours in the Agpeya are prayed, then the Vespers Praise is sung (with or without a priest), then the priest comes for Vespers if he wasn't there earlier.
Often immediately after Vespers the Midnight house from the Agpeya is prayed, then the Midnight Praise is prayed. In a monastery though you would leave the church after Vespers, and then come back during the night for the Midnight Hour and Midnight Praise.
Then Sunday morning you pray Prime from the Agpeya (either at church or at home first), then the Doxology of Prime or Morning Praise is sung, then Matins is prayed. After Matins and before the Liturgy the 3rd and 6th hours from the Agpeya are prayed, then the Liturgy starts.
You can do Midnight Praise at home, but outside the monastary it's never done daily or anything. The Agpeya on the other hand is prayed by all the faithful every day (in theory at least) according to each person's rule from their Father of Confession, but usually at least Prime and Compline with a reduced set of the Psalms.
If you want the text for the Praise (evening, midnight, and morning) pm me your email address and I'll email it to you on the weekend. Recordings can be found at: http://www.stantonymonastery.org/psalmody.asp
tasbeha.org and coptichymns.net
The hours in the Agpeya are the complete office, there's no seasonal stuff or anything. The Psamody (praise) does have things that change daily and seasonally. Besides these there's nothing else you can do without a priest, we don't have anything like a readers service for matins & vespers. We believe that only priests can offer incense, and will never have incense in the home like some other Orthodox groups do.
Where would the hymns be placed within the Agpeya and is there an English language book of these hymns?