The OP said they use the Internet for everything; TV, movies, Multi-player Internet games, YouTube... That's a LOT of streaming. At home we use cable for most all television but we use our ISP for work, streaming Netflix, our son plays online games, Youtube videos... many things.
Time Warner provides a 'usage' page so you can see how much data you're using. So far, just for June, we're already up to 124 GB. I can't imagine any plan that's going to let you take that kind of bandwidth over the air for a low fee. Watching just one movie will take 5-6 GB. Multiply a movie every night by 30 days and you have used a large amount of data.
If you're near a populated area, the AS antenna can pick up quite a bit. We were 60 miles out of our city at a Federal campground and picked up almost every channel. When we travel we take along a media player and 5 TB of movies (about 500+ movies).
I would recommend getting Dish or DIRECTV for all the TV watching and save the Internet for the gaming, surfing, email etc. I'd go with a pay-as-you-go plan to see what my actual usage is and then determine if I want to get a monthly plan. The OP didn't say what they were willing to pay, but it's not going to be cheap.