I'm currently in the process of switching from YouTube to Piped and was getting fed up with rewriting YouTube links myself. I finally found an extension that can do this with a relatively easy setup:
Thought maybe more people might find this interesting. My setup is in the pic.
Edit: @nutbutter@discuss.tchncs.de Just suggested using LibRedirect which is even better than Redirector. Also since Redirector isn't really maintained anymore.
The OG piped basically. Does the same thing. You can try an example here