==No longer needed unless you can not add animations to xbox==
Gogy28's animation replacers do everything this does, with no esp.
http://www.nexusmods.com/fallout4/mods/15498/?

Simply changes what (Stock or modded) animations the game will use for DeathclawGauntlet, Knuckles, Powerfist, All of them, or just Deathclaw/knuckles.
Only use one to cut down on esp clutter.

Optional:
Gogy28's H2H Combomaster or H2H Combomaster v2 for best effect like in video (H2H Combomaster v2 was used).
Found here: http://www.nexusmods.com/fallout4/mods/15498/?

Gogy28's H2H Powerfist master
http://www.nexusmods.com/fallout4/mods/15498/?
Add Jump Fall.hkx, Jump Start.hkx, Jump Land.hkx to data\meshes\actors\character\_1stperson\animations\h2h
This will have black textureless wrist on right arm when using knuckles but fixes 1st person jumping with deathclawGauntlet

Recommend but also optional:
DeathclawGauntlet and Knuckles to unarmed
                              +
Gogy28's H2H Knuckles master, H2H Powerfist master, H2H Combomaster v2
http://www.nexusmods.com/fallout4/mods/15498/?

To look just like video.

Compatibility:
May cause issue with other mods that edit DeathclawGauntlet, Powerfist, Knuckles depending on what esp you use.

Other info:
Anyone can do anything they want with this. No credit is needed
All I did was delete Deathclaw animations keyword from weapon.
If some one wanted dual hand fighting style powerfists, simply delete animations powerfist keyword from weapon.
Knuckle just had AnimationKnuckle keyword deleted.

I would encourage H2H weapon mod authors to do this if they simply edit PF/DCG/K bace.

Other thoughts:
Think if some one could make a dual set of knuckles/Katars/Powerfists and had pipboy unequipped ( http://www.nexusmods.com/fallout4/mods/13603/?  or http://www.nexusmods.com/fallout4/mods/6078/?). We can dream right?

Made with FO4Edit
http://www.nexusmods.com/fallout4/mods/2737/?