The first lunar eclipse of 2013 will be occurring on April 25, at about 20:00 UT. The partial lunar eclipse will be visible to those in Europe, Africa, Asia, and Australia, but not to those in North America. Madagascar and East Africa will be the best places to observe from.
This eclipse is “only” a partial one though, at maximum eclipse only a tiny portion of the Moon will be covered by the Earth’s umbral shadow, but around half of the Moon will be darkened from the penumbral shadow.
For those interested, the penumbral eclipse begins at 18:03:38 UTC, the partial eclipse begins at 19:54:08 UTC, followed by the maximum eclipse at 20:07:30 UTC. The partial eclipse then ends at 20:21:02 UTC, and the penumbral eclipse ends at 22:11:26 UTC.
The image below should help to clarify where you can watch from.
The first solar eclipse of 2013 will then be following about two weeks later, on May 10. The eclipse will be visible across a wide swath of the Pacific region, from Australia and Indonesia all of the way east to Hawaii. The eclipse will bean annular eclipse, also commonly known as a “ring of fire” eclipse, thanks to its appearance.
For more information on these, and all of the other major astronomical events of the year, make sure to check out: Astronomy 2013, Comet ISON, Meteor Showers, Eclipses, Supermoon, Venus, Jupiter, Etc