Get a Latin-English copy of the Little Office published before 1965 or so (Ebay or a good Catholic bookstore are sources) with a ribbon (if possible). Start with Prime (morning prayers) and Compline (evening prayers) on most days, and do the other Hours on Marian feast days and other special days (e.g., First Saturdays or all Saturdays in honor of our Blessed Mother).
You won't be sorry going with the Little Office! Good Luck!
This is an excellent suggestion! In fact, this is exactly what I do. There are two editions that I know of that are still in print: a reprint of the 1914 edition (according to the revisions to the Breviary instituted by Pope St. Pius X), sold by the FSSP; and a reprint of the 1904 edition, printed by St. Bonaventure. I have both editions, but since I like the 1914 edition, and because it is the "latest," I have used that edition since I bought it less than 2 months ago.
Most days, I pray Prime, Terce, Sext, None, and Compline. I say Vespers many of those days, and I sometimes even say the Matins and Lauds (which together take an hour for me to pray). I love the Little Office, since it is something that is beneficial to a daily prayer life, most hours only take 10-20 minutes to say (I say them in Latin, to help me brush up on my understanding of the language), and because of its Marian theme. I think my favorite hour is Compline, because of its inclusion of the Sub Tuum, which is said for most of the year.