The price does add up if you need to buy the extras, which is why I couldnt recommend the Pi2 over something like a Amazon Fire Stick, however with the Pi Zero being like £4, it means you can most likely get a pretty good setup for under £10. e.g. £4 Pi, £4 Wifi dongle, £1 USB OTG cable, £1 Mini HDMI adaptor. You shouldnt need power as the TV's USB should easily power it.
The fire stick doesn't do 24p
This is why the pi should be no1 choice if you watch any 24p content.
24p problem applies to every android box too.