Generally, after about one week following hair restoration surgery the grafts are not going to fall out. By 1-2 weeks any crusting on the grafts has resolved and most people aren't concerned about covering up the area. At the same time you don't want a hat, bandana, helmet rubbing on your grafts, especially in the period following surgery. Hats, caps, bandanas rubbing on non-transplanted hair isn't so good either so just make sure the head gear fits well. One other point don't let the grafts get sunburned so keep 'em covered outdoors especially till they have had a chance to grow out. Best option... talk to the doctor who performed the procedure. He/she wants to make sure everything goes well too.