Do you always put mittens on your LOs hands?

Hi ladies. My LO is 14 weeks now and I always have mittens covering her hands because she scratches her face. Before the mittens, she would get scratches on her face and one was near her eyes. I got scared so from then on I always made sure that mittens were covering her hands to keep her from scratching herself. 
But now I feel like she needs to see her hands and practice with them to reach or start grasping objects and such.
Should I remove babies mittens and let her explore on her hands? I clip her nails but I don't go too close because I'm afraid that I might clip her skin.