It isn't that bad at all!!
Take it from someone who is terrified by needles too!
They MUST do these blood tests for your safety and the safety of your child!
What are you planning to do when it's time to get your child immunized? Are you going to freak out or are you going to be calm and teach your child not to panic like you?
This always helped me:
When they are about to stick you, make sure you have one of those rubber ball stress reliever things in your hand that they are taking blood from. SQUEEEZE like hell!
Before they stick you, start spelling random long words. You won't even notice hardly.