you could save some effort as well and get a Roku/amazon hdmi stick. then simply connect it's wifi to your phone's hotspot.
then the stick will simply use the internet from your phone to stream whatever you wish to stream. this assumes you are streaming netflix or some other service like that. boost mobile does limit the hotspot even on unlimited plan. i think it is 9 gb a month if i recall right. so you're not gonna be watching tv 24/7 through the phone. just something to be aware of.
otherwise you still need such a stick on top of the router. looking at probably $100 on the low end to get both up n running.