Always wear safety googles. Period, end of story. If you need further explaination, then you shouldn't be working with these or any other materials.
When you are working with any resins, solvents, or any other chemicals it is important that you wear latex gloves. If you are allergic to latex you can use the purple nitrile gloves but they are not as resistant to resins so prepare to change gloves often. When you are working with materials that do not require chemical resistant gloves, it is a good idea to use work gloves. They provide a moderate level of protection against cuts and abrasions.
Any type of chemical based work including fiberglass and carbon fiber layups should be done in extremely well ventilated areas. If you are going to be working in a area with fumes for an extended period of time, use a resperator. Resperator selection can be confusing as there are quite a few types. I use one that I bought from Home Depot, whichever you choose, be sure that it has an activated carbon filter or specifically lists that it filters the compounds you are working with. If the resperator is working properly you will not smell any fumes. Eventually the filter will become full and need replacing. The smell of fumes while wearing the resperator is a sign that the filter(s) need replacing.
I recomend using clothing you do not mind destroying. You will most likely get resin on them and it will not come out, ever. You should cover as much of your body as possible. Fiberglass and carbon strands will irritate your skin and make you itch like crazy. If you get resin on your skin the only way to effectivly get it off is with accetone, which is about as good for you as resin is so try to avoid it. In addition, your clothes will absorb resin fumes, so even after you have left the area, the fumes will follow you so always have some spare clothes to change into.