YOU are the safety..... but i do understand your feelings with this because i felt exactly the same way . my experience with automatics was with berettas/taurus and cz/tz which had a safety and it was normal.... my colt and smiths and ruger and rossi revolvers did not, and that was normal and not unsafe.
then i got my sig p6 and WHOA... an auto, without a safety??? wtf were they thinking? then i sat down and tried to see why it didnt need one..... because of the double action trigger pull. its an automatic that acts like a revolver for the first shot.... so its just as safe as your .38
hope it helps you get past the manual safety issue and enjoy your good gun.