I found that I frequently copied text from Chrome into a text editor such as Notepad to strip the formatting information away, and then pasted it into MS Word or other applications. The following simple AutoHotkey snippet will paste text without formatting regardless of applications you are using.
#v::
clipboard = %clipboard%
SendInput, ^v
return
Pressing [Win key + V] will paste text without formatting. Of course you can customize this keyboard combination as you wish.