Although the main campaign is easier than the previous games, it is still a challenge to complete with no damage. I guess not many people are aiming for no damage since there's no extra bonus for that and maybe because it has lots of bugs? Anyway, I also include Vergil's Downfall DLC to make the walkthrough complete because there's even less no damage walkthrough up there than the main campaign as I see. Hope these will help 
DmC: Devil May Cry https://www.youtube.com/playlist?list=PLEhwSNLUE4pTuF_zJNMyDh-DeJcV13siA
DmC: Vergil's Downfall https://www.youtube.com/playlist?list=PLEhwSNLUE4pSzsBJVfh1S28N9iyP7qEaF

DmC: Devil May Cry https://www.youtube.com/playlist?list=PLEhwSNLUE4pTuF_zJNMyDh-DeJcV13siA
DmC: Vergil's Downfall https://www.youtube.com/playlist?list=PLEhwSNLUE4pSzsBJVfh1S28N9iyP7qEaF