It's not the fibers themselves... it's the resin used in the matrix that tends to be more harmful.
Not sure what is used in current lay-ups, more than likely epoxy, although polyester and vinylester may also be used.
Best advise is simply wear a mask (nothing too fancy, one of the paper ones) and some goggles. More out of comfort than anything else.
Oh and some good extraction stops getting your bed roo... err I mean Work area (