The Sole Survivor owned a dog before the war.  Presumably he/she knows how to trim dog nails.  I found the "click click click" sound effects annoying; I fully expect no one else to care. :) This mod simply replaces the sound of Dogmeat walking on wood and stone surfaces with the sounds that are used for dirt.  It works for me, but I can't promise it won't break your game.  Sorry the video is kind of janky; I was recording onto the same HDD.

To install:

1. Unzip into your Data directory (maintain folder hierarchy)
2. Edit your Fallout4.ini file in your Documents\My Games\Fallout4\ directory as follows:

Change "sResourceDataDirsFinal=STRINGS\" to "sResourceDataDirsFinal=STRINGS\, SOUND\"  If you are using a texture mod, you'll change it to "sResourceDataDirsFinal=STRINGS\, TEXTURES\, SOUND\"

Thanks to Gorgulla for sharing how to change the filepath in their texture mods, and to jonwd7 for creating the Bethesda Archive Extractor.