There is unfortunately not a one-stop shop for the Byzantine Divine Praises. You will need a Triodion for Great Lent, Pentecostarion for Paschal Matins through Sunday of All Saints, a Menaion for fixed-feast days, and the Octoechos for the usual cycle of eight tones for weekdays and Sundays. Sounds like you already have a Psalter, and you will obviously need a bible for Old Testament readings and Matins Gospels.
Archbishop Kallistos has an excellent Triodion and Menaion. The Basilian Sisters have printed a Menaion, Triodion, and Pentecostarion.
For the Oktoechos the most complete English translation is either Mother Mary (Greek usage) or St. John of Kronstadt Press (Slav usage and my preference).
The OCA Octoechos is now online at
www.archdiocese.ca/OctoechosComplete.pdf [
archdiocese.ca] You could print that out and have it spiral-bound. It does not contain all that is included in the SJKP, such as the Canons to the Trinity for Sunday morning Midnight Office, the Canons to the Theotokos for Small Compline, etc., but considering the price (free downloadable, 5$ or so at Kinkos to bind) it will certainly get you started on the daily Octoechos for Vespers and Matins.
For those with Old Rite tendencies, Erie has now produced the Sunday Octoechos in two volumes.
The Melkites have also produced several of these books, including both a spiral-bound Octoechos, monthly Menaion, Triodion and Pentecostarion (mostly Greek-style usage) which you can get from Sophia Press - and that go well with their newly-published Horologion.
FDD