Hi mint,
I, too, am a Latin Catholic and a member of the Third Order Carmel. I also have sentiments towards eastern rite Catholicism, having attended their liturgy various times during the course of my husband's military career. I daily pray the Little Office of Our Lady, but also now subscribe to the BDO emails which I find very, very beautiful and helpful...I pray them most days, not all, depending on my schedule, but I find them very enriching in my spiritual life. Not sure what books are available with similar contents, but would be interested to find out.
Hope this helps a bit...have a fruitful Lent. Simplicity