If you have lens caps, you really don't need "protective" filters. They don't protect any better than a lens cap and the four extra air-to-glass surfaces will degrade your images somewhat. Use filters when you need them and avoid them when you don't for best image contrast and quality. My lenses all have front and rear caps that get removed only when the lens is mounted on the camera. The rear element is more than adequately protected inside the camera; the front gets a protective filter when water or sea spray is a danger. However, these latter are of more danger to the shutter than the lens itself anyway. Lens glass cleans up easily after exposure to sea spray; it's much harder to clean the shutter and other exposed metal parts that corrode easily when exposed to salt.
And, a "protective" filter is more likely to break and damage a lens element when the lens is dropped (heaven forbid) than a lens cap.
Best,
Doremus