There are 4 planned DLCs for Activision's and Treyarch's Call of Duty: Black Ops III. The first of these, Awakening, will release February 2nd, first for the PS4. The other platforms will follow shortly later. Past experience with timed DLC would have me guess that will likely be early March, about a month later, but that is pure speculation on my part as there has been no official word form the developer or publisher.
This first DLC will include 4 new multiplayer maps and a new Zombies mode set in a medieval Austrian castle during World War II. The DLC is priced at around $15 for the single map pack, with a season pass including all 4 upcoming offerings for $49.99.