Well let's see if we can clear this up a bit or make the picture muddier.

I'm going to post this in series as I don't want to get timed out.
The traditional or Linnaean system of Taxonomy divides living things into 5 Kingdoms. They are grouped into categories based on how similar they are. Many of the taxon are based on morphology or anatomical similarities. With the advent of genetic research may species thought to be similar in appearance are more distant than previously thought. Because of this the Linnaean System does not accurately tell how ancestrally close members of a particular taxon are though it does give a good systematic approach to discussing and naming known organisms. Since this system has named and categorized all known species we can now modify the taxa according to genetic information.
In the Kingdom organism are distiguished according to cellular characteristics and methods of obtaining nutrition.
We'll be considering the Kingdom of Animalia.
Animalia are organisms that ingest nutrition.
You can also have Subkingdoms but we'll skip that.
Both Tunicates and Enchinoderms are Members of the Kingdom: Animalia
Animalia is then divided into Phyla according to basic, physical similarities.
We'll be considering the Phylum Chordata.
This Phyla is now divided into 3 Subphyla: Vertebrata ( animals with spinal chords ), Urochordata ( invertebrates ) and Cepalochordata ( invertebrates ).
Phylums are categorized into Classes in which members are grouped according to their skeletal system, environmental adaptations and their reproductive systems.
Classes are now divided into Orders in which organisms are grouped according to closer morphological similarities.
Orders are then divided into Families which are grouped by even more detailed morphological traits.
Families are now divided into Genera for which organisms are grouped by even closer similarities.
Lastly the Genus is divided into species.
Now let's get to the Phylum Chordata.
All Chordata have bilaterally symmetrical bodies. At some point in their life they have gill pouches or gill slits to obtain oxygen in a liquid environment. Chordates also have a notochord, a stiff cartilage that runs under the dorsal surface of their body.
Subphylum: Cepalochordata are marine filter feeders closely ancestral to Echinoderms.
Subphylum: Vertebrata when the notochord is replaced by a complex spinal chord in the embryonic stage.
Subphylum: Urochordata which contains the 2000 known species of Tunicates or sea squirts.
(end of first post.)