Sounds like you will want Sling with HBO Now. Then it's just a matter of choosing a device to run it. I have and use a Fire TV stick (not the newest generation at this point, I think), a chromecast (also not the newest version), and a Roku3 (not the new 4K capable variety). The Roku is absolutely the preferable device for those content sources.
I use Sling during football season too. $25/month during the season was pretty reasonable ($20 for the basic service, $5 more for the extra ESPN channels and such) - about $6/week to watch any game I can't see on the broadcast networks. It's cheaper than going to a sports bar, that's for sure. I haven't used HBO Now, but $15/month sounds okay. So, you're at about $120 for the Roku 4 (or save $20 and get last year's like mine, but I wouldn't; you'll be glad for the extra processing power even if you don't have 4K content) plus $35-40/month for SlingTV, depending on your sports needs. There's also an extra for News (even though you get CNN and Bloomberg in the basic selection).
I understand that you're posting in the Fire TV thread, but that's not what I would do if I were you. When I first started my Sling subscription (currently suspended until football comes back), I didn't have the Roku. I had better performance out of using the Sling app on my smartphone and casting it to chromecast than I did with using the app in the FireTV stick. It was basically useless. I was ready to buy the Roku by halftime of the first game. The Fire TV Stick couldn't play through a whole segment between commercials without having to stop and reload the video feed. The chromecast would loose the video feed when the commercials ended so I would have to stop casting as the commercials ran, and then reconnect to the chromecast as the commercials ended. NOT the way I like to watch the game. In contrast, the Roku has been basically flawless. That's not to say that it is entirely bulletproof, but it actually does what it's supposed to. The extra $20 for the newest model will be money well-spent.
A single subscription to Sling should be good for one device at a time, I think, but that may deserve some more research - you might be able to use it on several devices at once? If you're saving $90/Month on the content, it might be worth spending for two Rokus. If I didn't have the Roku, I might be willing to watch the occasional something via the chromecast.
If other people say the newest Fire TV devices are as good as the Roku, maybe there's room to save even more... I would be surprised if you found the savings were real based on the quality experience I had with the more modern apps on the Fire devices.
Also - regarding the DVR... I went with a TiVo roamio recently when they went on sale WITH LIFETIME DATA. Because of course that has always been the catch with TiVo - the data subsiption that makes the program work like you want. It's usually like $20/months or something. With the high-end DVRs, they offer lifetime subscriptions for $500 (iirc) but with the OTA-only Roamio, they don't usually offer lifetime data. Recently, they did AND at HALF PRICE! So for (again, iirc) $300, I got a TiVo and lifetime data. I only use the thing about once each week, but it means I can skip commercials when I watch SNL on Sunday and I can rewind the broadcast TV games or skip commercials... absolutely worthwhile at that price. I just wasn't willing to be on the hook for $20/month, so I waited for the sale. It's not frequent. Who, knows? They may never do it again.
Last edited by HopefulFred; 06-02-2016 at 06:16 PM.