I use Bobert's suggestion and talk and tune at the same time. One definition of folk music is "music where the introduction is longer than the song". You've gotten several good suggestions. A trick that has reduced my tuning time is to "stretch" the strings when I first put them on the guitar. As you get the string close to pitch, place two or three fingers under the string a gently pull it away from the fret board. Any unresolved tension at the peg hole and at the tuner peg tends to resolve and the string is likely to stay in tune unless you mess with it. You can just set it and forget it. This has reduced the sharpening of pitch with a capo as well for some reason I cannot explain.

Roger in Baltimore