to answer OP the Divine Office and Liturgy of the Hours refer to the same thing, the public prayer of the Church which sanctifies the hours of they day and the work and life thereof. The breviary is the book which for convencience, contains the psalmody, prayers and readings for the season, or in abbreviated form, in a single volume. the whole thing, including office of readings, takes 3 or 4 volumes, depending on how they are bound. If you want to pray with the Church you pray the translation approved for your country, and this should of course be done when you are praying as a group.
For private devotion, any reliable translation may be used, in any language you wish, or of course Latin is always top choice if you are able to pray and read in that language. Members of religious orders and their lay associates often have Offices approved for them. Some however have made changes without seeking or obtaining approval of their superiors or of the Church, and these should be avoided.
reprint from a reliable Catholic publisher like Baronius of earlier versions may be used in private devotion (seems like used books are coming up on amazon and ebay more frequently since the MP so worth a look). Personally, when I can find something like the Rule of St. Benedict or a missal with Latin on one page and English on the other, I grab it, because that is most helpful for me personally. If it was available I would also get an English/Spanish Missal, but until there is one Spanish lectionary translation approved for the US I guess that will not be any time soon. we do have locally produced “handouts” for some of LOTH printed that way for bilingual celebrations.