I don't know what creams are available where you live Debbie, but here the most well known one is called Emla Cream. It's a topical (on the skin) anesthetic which is applied over the site, and then covered for about 20-30 minutes prior to puncturing the skin. This allows time for the area to deaden.

You could try phoning the people at the place where you have your blood drawn to see if they have this one or something similar. I'm sure they will have, as most use it before taking blood from small children (and big strong footballers )