You do not really NEED to have UV filters. If you use the proper lens hoods for the lenses all the time, they will provide all the mechanical protection you need except if you are going to take photos in blowing sand, etc. In addition, the hood will protect against strong light sources outside the area of your subject from causing problems with the image quality.
A filter on a lens greatly increases the chance that you image will be degraded, especially if there are strong sources of light (including bright white clouds) anywhere that can impinge on the filter surface. The most common thing that is seen is flare, but even if that doesn't happen you're likely to get reduced colors and contrast. Just recall what it was like the last time you drove towards the sun. The sun impinging on your windshield made it more difficult to see, didn't it?
If you insist on using a filter, there are two things that I will recommend. First - get the absolute best filter you can afford (and a properly sized one for each lens). Second - use a properly designed lens hood always, even with the filter on the lens.
I'm amazed at how many amateur photographers I see carrying very expensive cameras and lenses around with a filter on the lens and either no lens hood or - worse yet - a lens hood mounted but in the reverse (storage) position.