Amazon Fire ($39.99 - $74.99): Amazon’s set-top box and its cheaper stick have the advantage of syncing well with any other Amazon devices you may have. You can ask your Alexa to find a show for you, and after you start watching it, you can pause it on your TV and pick it up later on your Fire tablet. As with the Roku, the Amazon Fire’s features have also been integrated into a smart TV. The most expensive version of the box adds an HD antenna for picking up free over-the-air local broadcast signals. One common complaint about Fire devices is that they push Amazon Prime Video content over that of other streaming video companies, but that’s a bit of a nitpick. Netflix and Hulu shows are still easy to access with this interface.
This is a little hard to answer because I don’t know the make and model of your TV. That said, your antenna should be plugged in to your ATSC input, and you will need to scan for channels once the antenna is plugged in. Your QAM input is not for your antenna. It’s for a cable hookup. If you have a quality TV, I imagine the picture-in-picture should work with OTA channels unless your tuner has some kind of restriction.
Another cable or satellite alternative could include simple online viewing. Many TV stations – especially the larger ones like ABC and CBS – give website visitors access to their show episodes that have recently played when you visit their websites. Even some cable TV channels such as The Food Network have full show episodes available online for web site visitors.
But beware -- there are a few missing gaps when it comes to support. Many devices have the Hulu or YouTube app, for example, but not all of them support live TV viewing. The PS4 is missing both, as well as Sling TV. DirecTV Now doesn't work with game consoles at all, and of course PlayStation Vue won't stretch to include the Xbox One. Amazon Prime apps work across most devices, but the company's feud with Google keeps Android TV and Chromecast on the sideline.