First, I will give you a list of books and such that helped me figure out what Praying the Offices was all about. (Then, perhaps, you will look all this up and won't need my series.)
When I first became curious about this, I had a hard time finding out information. It is easier now. I'm not sure why, but I suspect because, 1) more Christians are incorporating this type of prayer into their lives and talking, blogging and tweeting about it and 2) lots more things are available on the internet now than were available nine or ten (or more) years ago. (It is hard to remember what it was like on the internet nine or ten years ago!)
Daily Prayer, by Robert Benson. Daily Prayer contains a DVD of a seminar Robert gave to a small group in which he explains the daily office, a CD with morning, midday, evening, night and a few other prayers, and a booklet with bookmark, both of which contain the prayers and information that you need to get started. (The idea of printing some of the office on the book was really good and lets you avoid some of the flipping back and forth in a book that is otherwise required.)
This is at the top of my list for a reason. I think it is a very good explanation of the whole process. I started here, keep the CD in the car, and just recently started carrying the booklet and bookmark in my purse for those times I am away. I have come to really appreciate the booklet/bookmark. (If you will use this with your family or a small group, order the extra booklets and bookmarks.)
The Divine Hours by Phyllis Tickle. Here at explorefaith.org is information about the books, including excerpts from the introduction in the books and more. The A Brief History of Fixed Hour Prayer from that website is very good. It is taken word-for-word from the books, The Divine Hours.
The books are available at amazon. There are three books for daytime prayer. (I coped the images from amazon.com, but you cannot really look inside from here! Links to amazon.com with reviews are below.)
The Divine Hours: Prayer for Springtime,