I am sure that as long as you are careful, you should not need them. I heard that touching the case (metal part), the static discharges and you are safe to work inside the PC. I always do this and have handled RAM like this...simply everything that is said to be static-unfriendly.
Plug the black psu cable into the mains, connect it to your psu but dont switch anything on. This will ground the hardware.
Then you can use a little copper wristband.