How to replace internal copy function with TeraCopy?

I can add TeraCopy button with Copy & Move with TeraCopy, but it's not so convenient. Can TeraCopy replace opus's internal copy, use like it with windows explorer?

or can I customize Ctrl+C and Ctrl+V use TeraCopy?

You can modify what Ctrl-C/V do in Opus under Settings -> Customize -> Keys.

I think TeraCopy has some commands for making it work with or like the clipboard but I'm not certain.

Note that if you modify the Ctrl-V hotkey you will lose Opus's ability to paste text and images from the clipboard into new files in the directory you're in. (You could bind that to Shift-Ctrl-V or something, though.)

As for replacing the internal Opus copy functions, I guess you can do that. They're run either through the toolbar (which you can edit) or through file types (drag & drop actions or drag & drop context menus, both of which can be edited).