NASA's moon suits, built by ILC, were jointed, segmented steel much like medieval armor. The white fabric was both a sunscreen layer and an attempt to keep the Soviet Union from seeing the details of the articulation, such as the constant volume joints.
Now the Soviets, they had the problem you mention all right. When Alexey Leonov did the first spacewalk in 1965, his suit starfished and he had to repeatedly open valves and expose himself to vacuum in order to fight his way back to the lock, then he had to completely depressurize in order to get back in. An incredibly brave man with nerves of steel, Leonov did a pretty good job of discrediting the "instantly fatal decompression" myth that still surfaces regularly in 21st century space fiction.