Devil May Cry costumes:
Dante: DMC3 Dante, DMC3 Coatless Dante, DMC1 Dante, DMC1 Coatless Dante, DMC3 Super Dante, Legendary Dark Knight, Super Legendary Dark Knight
Vergil: Vergil, Coatless Vergil (only with that black jacket), Super Vergil, Corrupted Vergil, Super Corrupted Vergil
The fighting style doesn't change, just as Durante said above. There's an exception: when you are Vergil with any of his Corrupted form, his DT is Nelo Angelo from DMC1, but his style (as Nelo Angelo) changes, because in DMC1 Nelo Angelo has another sword (Iaido, Yamato's corrupted form), so he doesn't use Yamato anymore. And the Beowulf style as Nelo changes as well. Instead of fighting with Beowulf, Nelo fights with his gauntlets and greaves from his armor.
That's pretty much it

.