There have been a few discussions and opinions offered:
The DeAnza College Planetarium gives it's cosmic address as: Fujitsu Planetarium, Anza College, Stevens Creek Boulevard, Cupertino, California, U.S.A., Planet Earth, Earth-Moon System, Solar System, Milky Way Galaxy, Local Group, Virgo Supercluster, Observable Universe. - That's somewhat commonly used (or variations thereof), and not a recent / accurate location reference.
A more creditable, certainly shorter, take is offered by Nature.com in their article: "Earth's new address: 'Solar System, Milky Way, Laniakea'" and their paper "The Laniakea supercluster of galaxies" (4 Sept 2014), by Tully, Courtois, Hoffman and Pomarède - Free @ arXiv, 2nd source.
Opinion supported by this National Radio Astronomy Observatory news release: September 3, 2014 at 5:00 pm EDT, "Newly Identified Galactic Supercluster Is Home to the Milky Way".
The 'more technical' approach portion of your question involves human taxonomy, we are:
Kingdom: & Animalia \\
Phylum: & Chordata \\
Class: & Mammalia \\
Order: & Primates \\
Suborder: & Haplorhini \\
Infraorder: & Simiiformes \\
Family: & Hominidae \\
Subfamily: & Homininae \\
Tribe: & Hominini \\
Genus: & Homo \; (Linnaeus, 1758) \\