Directv stream compatibility with Toshiba TV

What streaming device are you using with your Toshiba TV?  I didn't think there was a native DirecTV Stream for Toshiba TVs. 

Using Directv Stream

and it’s a Toshiba fire TV

I have a Toshiba Fire TV and the remote works OK, but after a while (usually a few weeks), it will start to be real slow in reacting to button pushes. I do a restart of the TV and it goes away for a while. 

The tech support guy on the phone said last night if we got DTV Stream to work consistently on a Toshiba TV, we'd be in Guinness Book of Records, acknowledging the incompatibility with Toshiba tv's.  It's a shame as I was about to cut the cord w/ Verizon Fios Cable, but not if I have  to uninstall then reinstall the DTV Stream app each time the remote freezes, which is only thing that fixes problem.

I always though a Fire Stick was to convert a non-smart tv into a smart tv. My Toshiba is a new smart tv already - but can't use it effectively with DTV Stream app.

Would a Fire Stick still help in this circumstance?

Thanks!

Would you have a recommendation on which Fire Stick I need for this purpose? Just want DTV Stream to function on the Toshiba tv as it does w/o a Fire Stick on my living room Samsung.  This is what I see on Fire Sticks:

The Fire TV Stick Lite is the cheapest model at $29.99, while the regular Fire TV Stick goes for $39.99. The more expensive Fire TV Stick 4K usually costs 49.99, while the Fire TV Stick 4K Max is the most expensive model at $54.99. 

Thx!

Any current FireStick or Roku Stick should work fine. 

I guess I'm just not understanding why a Fire Stick would help the problem of incompatibility of brand of tv (Toshiba) with streaming service (DTV Stream)?

Want to make sure this will solve the problem before I buy a Fire Stick and keep DTV Stream. Also would I need to buy a separate Fire Stick for each incompatible TV? I have another Toshiba tv downstairs -

Your Toshiba FireTV is likely using older firmware that's not compatible with the DirecTV Stream App. A newer stand-alone streaming device should work much better.