If you have a cable/satellite/pay tv package that includes AMC (as most such packages do), you can sign into the basic AMC using the credentials you use for your cable company. I don’t pay AMC extra for it (beyond what I’m already paying for the cable package). I believe that there’s an “AMC Plus” app that has more content and costs extra, but I don’t have that.
Same for me. We pay for Fubo and get AMC on that. You can record, and also watch prior episodes of most shows.