I am looking on input for running internet to an exterior building. My plan at this time is to run a ethernet cat6 direct burial cable from the house to the building... about 250 feet total. My understanding is you can run an ethernet cable about 300 feet before you run into problems. Anyone can confirm this?

Cat6 Cable https://www.amazon.com/gp/product/B0...T4FZKFA6&psc=1

In the outbuilding, I am planning on installing a Netgear Wifi Router, so I can have Wifi and stream tv. Anything wrong with the below router?

Router https://www.amazon.com/gp/product/B0...KIKX0DER&psc=1

Now for the streaming media player. I need to be able to use Youtube TV. Whats the best streaming player for that without breaking the bank... this isn't a tv in the living room so am hoping to avoid the most expensive option.

Any input or advice welcome. TIA.