Can you please help me. I live in Mexico. I have a Shaw box and get cable from Canada. They are changing so I need to change. I have no idea what to do. Some people here have roku, others netflix. I have a JVC and Samsung purchased in Mexico. I like to watch the British dramas Shaw offers on my 5 PBS channels. I also watch HGTV and vet shows. I have read a lot but am confused. What do I do?

As I kept vague tabs on everyone’s television habits over the spring and summer, a few patterns emerged. The biggest one was that YouTube and Netflix were watched on the television far more than the actual cable service. The second was that most of what was actually watched on the cable service were series that could easily be found on other streaming services for far less money. By subscribing to Netflix and Sling TV, with occasional subscriptions to other services for a month to binge watch a particular series or two, we cover virtually everything that we had watched on television throughout the spring and summer.

The bandwidth of the amplifiers also was limited, meaning frequencies over 250 MHz were difficult to transmit to distant portions of the coaxial network, and UHF channels could not be used at all. To expand beyond 12 channels, non-standard "midband" channels had to be used, located between the FM band and Channel 7, or "superband" beyond Channel 13 up to about 300 MHz; these channels initially were only accessible using separate tuner boxes that sent the chosen channel into the TV set on Channel 2, 3 or 4.[citation needed]
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.
Many broadband providers require a cable modem with DOCSIS 3.0 so if you decide to go for a used modem, be sure you’re getting one that’s recent enough to be compatible with your local broadband provider. Your cable modem is the foundation of your Internet connection.  Somehow, the importance of it is often overlooked by many people. There’s another building block also often overlooked, but worth re-visiting if you are entering the land of cord cutting.
A la carte TV is basically already here. It may not be in the exact form you want it. But if you can’t find something to watch these days between your TV antenna and streaming box, then I suggest you sell your TV and stick with books. (Not that there’s anything wrong with that.) Even though I pay for Netflix, Amazon Prime and Philo every month, I still love free apps like YouTube. 
It could be true that choosing one of these options won’t get you all of shows you could get with cable. However, if you truly want to get rid of cable, knowing what some of the options are can help you choose the BEST one. Then you can make the decision of whether or not it is worth it to spend the additional money to get the extra one or two channels through cable OR sacrifice one or two shows to save a BUNCH of money. It just depends your priorities.
Now consider all of the services we've mentioned above, not even factoring in the cost of buying a media hub or smart TV if needed. Assuming you need subscriptions to all of them to get as thorough a cross section of channels as you'd get with cable, it's not cheap. Remember, all these prices are before applicable tax and with the lowest tier of service.
In the most common system, multiple television channels (as many as 500, although this varies depending on the provider's available channel capacity) are distributed to subscriber residences through a coaxial cable, which comes from a trunkline supported on utility poles originating at the cable company's local distribution facility, called the "headend". Many channels can be transmitted through one coaxial cable by a technique called frequency division multiplexing. At the headend, each television channel is translated to a different frequency. By giving each channel a different frequency "slot" on the cable, the separate television signals do not interfere with each other. At an outdoor cable box on the subscriber's residence the company's service drop cable is connected to cables distributing the signal to different rooms in the building. At each television, the subscriber's television or a set-top box provided by the cable company translates the desired channel back to its original frequency (baseband), and it is displayed onscreen. Due to widespread cable theft in earlier analog systems, the signals are typically encrypted on modern digital cable systems, and the set-top box must be activated by an activation code sent by the cable company before it will function, which is only sent after the subscriber signs up. If the subscriber fails to pay their bill, the cable company can send a signal to deactivate the subscriber's box, preventing reception.
To put the scale of the potential threat of cord-cutting in perspective: for more than a year now, Netflix has had more subscribers in the United States than cable television, and the speed of changeover is only increasing. According to eMarketer, an estimated 22.2 million people switched from cable subscriptions to streaming content in 2017, a 33.2 percent growth over the previous year.
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The question of "when does it make sense?" can easily be rephrased as "how much money can I save?" and one of the biggest factors will be the price difference between combined internet and TV service or just internet. These are also the options that vary the most widely based on where you live, and the availability of promotions or contracts that can keep prices down for a short time.