So, I cannot speak for the Recast model, but I own several of the normal FireTV models, and have family I support that own just about every different model of FireTV box/stick/etc. I'm a huge fan of the FireTV platform. They are reasonably priced, allow for install of any .apk packages which allows for the install of apps that access free streaming of sports/movies/TV, and they're easy to use.
I would recommend going with the 1TB/4 tuner version though. It's a small price difference for a considerable performance increase.
There are a few other devices that work too like the
HDHomerun box, but the Recast is probably your best bet.
Like I said, I have no experience with the OTA DVR portion of FireTV, but myself and others here have a great deal of experience doing everything else with it. So you'd have a great help resource there.
Good luck. It's worth it.