Hello I_Ache, I'll try and explain but the scientific category of Araneae or arachnid is quite a complex muddle especially as there are scientific names and common names used.
There are thousands of different types of spiders and so groups which share certain characterises are classed together, and them sub families of these until we get each description.
Tarantulas are Theraphosidae. There are a little over 900 species of Theraphosidae known but it has been estimated there could be 2000 or more over all.
There are a few basic categories used to identify some variants of Theraphosidae such as new world, old word, fossorial, terrestrial or arboreal.
New World tarantulas all have a few defence characteristics in common. If threatened they will run or hide. If that doesn't work they can flick urticating hairs at the attacker. If that doesn't work they can bite.* Urticating hairs are most commonly found on the bum (opisthosoma) of the spider and they flick the hairs with their back legs. (Though some sp have urticating hairs near their fangs too).
Old world tarantulas don't have urticating hairs so either run or hide,make a hissing sound, if threatened, or bite.
Fossorial-mainly live underground
Terrestrial mainly live on the ground
Arboreal Mainly live in trees.
*It has recently been discovered that some Theraphosidae shoot poo or release a obnoctiouse odour, possible for defence.
In the whole family of Araneae there are Mygalomorphae, of which Theraphosidae are part of. All Mygalomorphae have their own characteristics which separate them from other Araneae. The most common being vertical chelicerae (chelicerae are the fangs or mouth parts) and four book lungs (lungs) under their bum (opithosoma). Most spiders are Araneomorphae (sometimes called true spiders) and they have horizontal chelicerae.
Unfortunately there are variations of the families and sub families. Names change and new things are learnt which means a spider can easily get shifted about within the groups or a new group started.