blutprobe

Yes, you should wash your hands.

Yes, wash your hands, as jespah said.

Actually it says that there is less risk of contamination if you clean and disinfect your hands (while taking blood samples)
blutprobe = taking blood sample

You need to wear gloves when dealing with blood. After you remove the gloves, wash hands with antiseptic soap under a good stream of very hot water.

That's not the translation though...