Refractor Reflectors offer lower cost for aperture. Excellent optical quality. Reflector Catadioptrics are versatile. Excellent for serious astronomical use and terrestrial viewing. Refractor's relatively small aperture limits utility to casual use.
Large apertures are very expensive.
Can suffer from Chromatic aberration where not all the colors of light focus at exactly the same place. More expensive refractors use specialized glass to reduce chromatic aberration for critical viewing. Refractor Reflector's are limited to astronomical use only. Mirrors require periodic alignment which can be complicated and time consuming for a novice. Reflector Catadioptric's are relatively expensive per inch of aperture.