Hi Steven,
I use a 77mm Hoya Pro Digital Circular Polariser on my 400mm lens - It also fits my 200mm 2.8. A Polariser is great for removing reflections, adding contrast to a cloudy sky and enhancing colour on a bright sunny day - and yes, a good one is £60 upwards!
As for UV or Skylight filters - yes they keep the front element clean etc, but again you need a good quality coated one in order not to degrade the photos. Spend 1K plus on a lens and then stick a cheap filter on the front