Hi and welcome to POTN,
A UV protection filter is not really needed, might even have some negative effects on your images if it's not a good one. Your camera already has UV filter built in actually. So all a UV does is "protect" from something... but I have to wonder, just how much protection can a thin piece of glass be expected to provide?
Yes, I have "protection" filters for all my lenses... They are stored in my camera bags and only used once in a blue moon. I will install one if shooting in a sandstorm, in salt spray at the seaside with Sally and her seashells, etc.
I get a kick out of folks who say "I use a protection filter and don't see any issues with my images". Of course they won't see the loss, because they aren't shooting side by side with and without the filter and comparing the images. A really good, multi-coated filter will be next to invisible in most situations... Might only become an issue in rarer situations, more extreme lighting for example. It's the cheaper, uncoated filters that really can be a big issue. Me... I'm looking for best quality images, without any sort of compromise I can avoid. I have used lenses for decades without any sort of protection filter on them and know that a lens hood does a better job protecting, so I choose to leave the filters off my lenses unless they serve a real purpose. There are times they do serve, but most of the time it's just another layer of optics in front of the lens that might or might not be an issue.
In virtually all cases, with or without a filter, a lens hood is a good idea. It can protect your lens from bumps, as well as oblique light that can cause flare and other image quality robbing effects.
C-Pol is quite useful for many purposes, but definitely shouldn't be left on a lens full time. Get a good one... multi-coated. Hoya, B+W, Heliopan are good. There are some good Kenko and Marumi filters too, I hear. Recently saw Rodenstock, which should be good but I haven't tried them. Just be sure any filter is multi-coated (if at all possible, more on that in a moment).
If you like to use slow shutter speeds (to blur the movement of water, for example) or shoot video with your camera, you might need ND or Neutral Dentsity filters. It can be a little tougher to find these multi-coated.
Sometimes Graduated ND are handy... these are half clear and half tinted gray, often used to "hold back" the sky in a landscape shot, so that the exposure is better balanced with fore and middle ground. Look for rectangular ND Grads... Cokin, Tiffen, Singh Ray, Lee, Adorama/ProOptic are some brands. Don't get the screw in type... you have to be able to move the filter up and down to match the horizon (unless you always put the horizon in exactly the same place in your images). This type filter is usually not multi coated. Use a lens hood to protect it.
There are few other type filters needed with digital. Most color balance and correction can be done with Custom White balance in the camera, or the WB presets, or in post processing. Some portrait and special effects filters might be useful... sort of depends upon what you shoot.
Yes, this question would have been better posted in the lens or accessories forum. There is a sticky at the top of the Lens Forum, about "protection" filters.