Are you sure the blade is properly tightened? My Wilkinson requires some force to properly tighten, slightly bending the blade, at which point it's firm, sticks out less, at a different angle, and it's not as easy to cut myself.

Other helpful tips - let the hair soak for a couple of minutes; clean/dip the blade with >90% alcohol to remove moisture, preventing corrosion and dulling. Haven't had issues shaving since.