I've seen a few people ask about this...and as someone who also watches the Hornets, wanted to share broadcast information for the Canes.
This article summarizes most of it:
https://www.nhl.com/hurricanes/news/how-to-watch-canes-games-on-tv-in-2020-21-season/c-320013434
Basically your traditional options are Spectrum, DirectTV or AT&T.
Eventually YouTube TV and Hulu should carry Fox Sports again, but they are currently in a dispute.
You can also get NHL TV for like $20 a month: https://www.nhl.com/subscribe
You will need a VPN if you live in NC (There are also streaming sites)
Lastly, the radio broadcast is available on ESPN 730 in Charlotte for select games and 99.9 in Raleigh. All radio broadcasts are on the Canes website and mobile app (For free) too