Mine, for dmc 4 it would be using Swordmaster, Gilgamesh and Coyote-A for extreme damage! For dmc 3 i go with my usual Trickster, Shotgun and Agni & Rudra with Beowulf for extreme speed!
I usually like most of the styles in DMC 4 but the trickster style got nerfed and doesn't feel as awesome and free as a trickster should, royalguard isn't often active and gunslinger i use it sometimes to rack up style points easier sometimes but swordmaster is it own self at least, Dark slayer doesn't have that much but it is great to rapidly switch for a combo or two then switch to something else.