Generally, all you need to do is connect to the new network from the Network settings. Don't forget to bring your remote because you'll need it to connect to a Wi-Fi network. If you get your local channels through Hulu or some other streaming provider you'll probably need to set up your new location and if you're using a TV for antenna channels you'll need to rescan. Most streaming apps (e.g., Netflix, Paramount+, etc.) should be completely unaffected.
This assumes you're just moving from one US location to another. If you're changing countries, that's a whole new ball of wax.
I've heard that some cable TV apps from cable internet/TV companies may refuse to run outside of their own network. Other than those though, like @renojim said, as long as you are within the same country, it should be easy.
@Strega2 Is correct. If you have a cable/internet package, certain channels will be restricted outside of the home network where you have the service set up.
On a side note, I am wondering if these postings with the capital S with a line (strikethrough) are legitimate postings (since there seems to be a lot of those) or if this is someone that tried to post a spam link. Or does that mean something else?
I think it's a (strange/non-intuitive) indicator that the user didn't type anything in the message body.