For home smithing, I highly suggest the Brownells gunsmith screwdriver sets. Fit the RIGHT bit for the particular screw you're doing. To kick that up a notch, as well as have a VERY DECENT 'go-kit' for the range, get the Borka torque set. (From Kortic, who's a member here)
You'll have a separate set of bits to put in a range bag, as well as an Excellent torque wrench that you can use anywhere. Gun related, of course.
And, regarding drilling, if by chance it is a 'through-hole', you can drill it out 'forward' with a regular bit. Blind holes obviously need left-handed ones. Stay centered.