CNAME record for WWW to Non-WWW Vs. 301?

[photoseo1]

I was just chatting with the person who set up our site on our domain hosting and they said they added in a CNAME record to transfer the www version of my site to the Non-www version.

Shouldn't this be set up as a 301 redirect? I have hundreds of links built to the www version and only a few to the non-www version.

Or

Could I just add in a 301 in addition to the CNAME record?

This is not my wheelhouse and need a little advice.

Thanks in Advance.

[Guest]

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