If the screwdrivers are smaller than 7 inches, they are good to go in the US - checked or carryon. If they are larger than 7 inches, then they need to be in checked baggage. Other countries have some different rules, so make certain to check with each country you transit through coming in. If you list which countries you will be flying through, we may be able to give more information on the specific countries. Enjoy your trip!