For holding and starting small screws nothing beats a 'pearl catcher ' also called a pick up tool. They are the gadgets with 3 wire prongs which open when the plunger is depressed. I think jewellers use them. They hold servo screws firmly enough to start them off . Invaluable tool.

There are plastic or metal case versions available (in Britain ) from Proops www.proopsbrothers.com and often seen at exhibitions. Cost is 1.50 pounds (plastic ) or 3 pounds( metal )